## 5×10102+9

### c97

name 名前 Robert Backstrom December 16, 2007 02:09:04 UTC 2007 年 12 月 16 日 (日) 11 時 9 分 4 秒 (日本時間) `4435923528227112187167582980603480780474129250391026659013219939298822439740196830798794493421969<97>` ```31854706908327006451053849450780933259103<41> 139254884403520782870512217316445103008038584589836414223<57>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 4435923528227112187167582980603480780474129250391026659013219939298822439740196830798794493421969 (97 digits) Using B1=1368000, B2=1312036254, polynomial Dickson(6), sigma=184601020 Step 1 took 13297ms Step 2 took 8781ms ********** Factor found in step 2: 31854706908327006451053849450780933259103 Found probable prime factor of 41 digits: 31854706908327006451053849450780933259103 Probable prime cofactor 139254884403520782870512217316445103008038584589836414223 has 57 digits```

## 5×10107+9

### c107

name 名前 Sinkiti Sibata December 16, 2007 10:46:15 UTC 2007 年 12 月 16 日 (日) 19 時 46 分 15 秒 (日本時間) `26315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211<107>` ```22161612064368328651072431710802457<35> 1187449243189082427047892522175799526276103441537325771419337450292326123<73>``` ```Number: 50009_107 N=26315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211 ( 107 digits) SNFS difficulty: 107 digits. Divisors found: r1=22161612064368328651072431710802457 (pp35) r2=1187449243189082427047892522175799526276103441537325771419337450292326123 (pp73) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.95 hours. Scaled time: 1.31 units (timescale=0.674). Factorization parameters were as follows: name: 50009_107 n: 26315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211 m: 1000000000000000000000 c5: 500 c0: 9 skew: 0.45 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:64083, largePrimes:2414537 encountered Relations: rels:2970085, finalFF:672208 Max relations in full relation-set: 28 Initial matrix: 113248 x 672208 with sparse part having weight 51031416. Pruned matrix : 58155 x 58785 with weight 4968824. Total sieving time: 1.78 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.05 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,107,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.95 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 5×10114+9

### c105

name 名前 Sinkiti Sibata December 16, 2007 13:29:45 UTC 2007 年 12 月 16 日 (日) 22 時 29 分 45 秒 (日本時間) `382270804004751115685801549224284849574629336415081490606549481511433152190319400016180865627738226555061<105>` ```70541614319082877066125526339209355501<38> 5419082164403195929289385747756719945734828037540124137574223619561<67>``` ```Number: 50009_114 N=382270804004751115685801549224284849574629336415081490606549481511433152190319400016180865627738226555061 ( 105 digits) SNFS difficulty: 115 digits. Divisors found: r1=70541614319082877066125526339209355501 (pp38) r2=5419082164403195929289385747756719945734828037540124137574223619561 (pp67) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.67 hours. Scaled time: 1.13 units (timescale=0.674). Factorization parameters were as follows: name: 50009_114 n: 382270804004751115685801549224284849574629336415081490606549481511433152190319400016180865627738226555061 m: 100000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:63888, largePrimes:2196933 encountered Relations: rels:2439165, finalFF:379789 Max relations in full relation-set: 28 Initial matrix: 113053 x 379789 with sparse part having weight 30408564. Pruned matrix : 65611 x 66240 with weight 4277422. Total sieving time: 1.50 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.07 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.67 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 5×10116+9

### c106

name 名前 Sinkiti Sibata December 16, 2007 21:00:17 UTC 2007 年 12 月 17 日 (月) 6 時 0 分 17 秒 (日本時間) `6007470579778724082070197662126840225249465868554753560298389981872307218603794018676645158186753206767301<106>` ```1770527491110016131038045568525078001<37> 3393039989462346591698405537211579666741526697212892785900831616289301<70>``` ```Number: 50009_116 N=6007470579778724082070197662126840225249465868554753560298389981872307218603794018676645158186753206767301 ( 106 digits) SNFS difficulty: 116 digits. Divisors found: r1=1770527491110016131038045568525078001 (pp37) r2=3393039989462346591698405537211579666741526697212892785900831616289301 (pp70) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.65 hours. Scaled time: 1.11 units (timescale=0.674). Factorization parameters were as follows: name: 50009_116 n: 6007470579778724082070197662126840225249465868554753560298389981872307218603794018676645158186753206767301 m: 100000000000000000000000 c5: 50 c0: 9 skew: 0.71 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:64058, largePrimes:1928320 encountered Relations: rels:1872426, finalFF:132412 Max relations in full relation-set: 28 Initial matrix: 113221 x 132412 with sparse part having weight 9758667. Pruned matrix : 104806 x 105436 with weight 6199905. Total sieving time: 1.39 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.17 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.65 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 5×10121+9

### c120

name 名前 Sinkiti Sibata December 16, 2007 05:14:06 UTC 2007 年 12 月 16 日 (日) 14 時 14 分 6 秒 (日本時間) `124688279301745635910224438902743142144638403990024937655860349127182044887780548628428927680798004987531172069825436409<120>` ```234394740470022334833839226247804877881<39> 531958520279564508033197824266783726238632647326464705045488524626649705389905089<81>``` ```Number: 50009_121 N=124688279301745635910224438902743142144638403990024937655860349127182044887780548628428927680798004987531172069825436409 ( 120 digits) SNFS difficulty: 121 digits. Divisors found: r1=234394740470022334833839226247804877881 (pp39) r2=531958520279564508033197824266783726238632647326464705045488524626649705389905089 (pp81) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.07 hours. Scaled time: 4.13 units (timescale=1.992). Factorization parameters were as follows: name: 50009_121 n: 124688279301745635910224438902743142144638403990024937655860349127182044887780548628428927680798004987531172069825436409 m: 1000000000000000000000000 c5: 50 c0: 9 skew: 0.71 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 550001) Primes: RFBsize:49098, AFBsize:64058, largePrimes:2256398 encountered Relations: rels:2489942, finalFF:350248 Max relations in full relation-set: 28 Initial matrix: 113221 x 350248 with sparse part having weight 32201932. Pruned matrix : 75006 x 75636 with weight 5986172. Total sieving time: 1.95 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.03 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.07 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10126+9

### c124

name 名前 Jo Yeong Uk December 16, 2007 09:26:31 UTC 2007 年 12 月 16 日 (日) 18 時 26 分 31 秒 (日本時間) `1320306311064166886717718510694481119619751782413519936625297068919989437549511486664906258251914444151043041985740691840507<124>` ```18583998288422002372740046473239078846323774567438627504014367<62> 71045331073170059497410700220270620432737612295639886159776421<62>``` ```Number: 50009_126 N=1320306311064166886717718510694481119619751782413519936625297068919989437549511486664906258251914444151043041985740691840507 ( 124 digits) SNFS difficulty: 126 digits. Divisors found: r1=18583998288422002372740046473239078846323774567438627504014367 (pp62) r2=71045331073170059497410700220270620432737612295639886159776421 (pp62) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.52 hours. Scaled time: 3.25 units (timescale=2.136). Factorization parameters were as follows: n: 1320306311064166886717718510694481119619751782413519936625297068919989437549511486664906258251914444151043041985740691840507 m: 10000000000000000000000000 c5: 50 c0: 9 skew: 0.71 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [400000, 720001) Primes: RFBsize:63951, AFBsize:64058, largePrimes:1387334 encountered Relations: rels:1376239, finalFF:164736 Max relations in full relation-set: 28 Initial matrix: 128074 x 164736 with sparse part having weight 7959278. Pruned matrix : 112535 x 113239 with weight 4175510. Total sieving time: 1.46 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000 total time: 1.52 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10129+9

### c118

name 名前 Jo Yeong Uk December 16, 2007 11:29:59 UTC 2007 年 12 月 16 日 (日) 20 時 29 分 59 秒 (日本時間) `1385613673935590348953591613436489741829549505362287644707221680889335587698736375275354448321494087870618987366346297<118>` ```55851141761388119444538473036013289<35> 188165401070611685235607528162110379<36> 131847024827184141097638546699400890537611235187<48>``` ```Number: 50009_129 N=1385613673935590348953591613436489741829549505362287644707221680889335587698736375275354448321494087870618987366346297 ( 118 digits) SNFS difficulty: 130 digits. Divisors found: r1=55851141761388119444538473036013289 (pp35) r2=188165401070611685235607528162110379 (pp36) r3=131847024827184141097638546699400890537611235187 (pp48) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.96 hours. Scaled time: 4.16 units (timescale=2.127). Factorization parameters were as follows: n: 1385613673935590348953591613436489741829549505362287644707221680889335587698736375275354448321494087870618987366346297 m: 100000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [500000, 900001) Primes: RFBsize:78498, AFBsize:78486, largePrimes:1556493 encountered Relations: rels:1609896, finalFF:225323 Max relations in full relation-set: 28 Initial matrix: 157051 x 225323 with sparse part having weight 11609462. Pruned matrix : 126069 x 126918 with weight 5246803. Total sieving time: 1.89 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000 total time: 1.96 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10133+9

### c134

name 名前 Jo Yeong Uk December 16, 2007 01:19:32 UTC 2007 年 12 月 16 日 (日) 10 時 19 分 32 秒 (日本時間) `50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<134>` ```1808856091842673778141469519200801928271629226769243833<55> 27641778815618891492508230793764960546620767858028425576294203682615206075499473<80>``` ```Number: 50009_133 N=50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 ( 134 digits) SNFS difficulty: 135 digits. Divisors found: r1=1808856091842673778141469519200801928271629226769243833 (pp55) r2=27641778815618891492508230793764960546620767858028425576294203682615206075499473 (pp80) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.70 hours. Scaled time: 5.79 units (timescale=2.145). Factorization parameters were as follows: n: 50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 m: 1000000000000000000000000000 c5: 1 c0: 180 skew: 2.83 type: snfs Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [600000, 1150001) Primes: RFBsize:92938, AFBsize:92784, largePrimes:1635992 encountered Relations: rels:1676140, finalFF:218361 Max relations in full relation-set: 28 Initial matrix: 185786 x 218361 with sparse part having weight 11337457. Pruned matrix : 170705 x 171697 with weight 7105532. Total sieving time: 2.59 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1200000,1200000,25,25,46,46,2.2,2.2,50000 total time: 2.70 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10137+9

### c98

name 名前 Sinkiti Sibata December 16, 2007 21:05:54 UTC 2007 年 12 月 17 日 (月) 6 時 5 分 54 秒 (日本時間) `15132084844002305813551973140721593577879529754928485014234706791511561393412085501945537540581801<98>` ```54141127725421474038977984368371957931<38> 279493344149482372551112704180571406141518303948937390507771<60>``` ```Number: 50009_137 N=15132084844002305813551973140721593577879529754928485014234706791511561393412085501945537540581801 ( 98 digits) SNFS difficulty: 137 digits. Divisors found: r1=54141127725421474038977984368371957931 (pp38) r2=279493344149482372551112704180571406141518303948937390507771 (pp60) Version: GGNFS-0.77.1-20060513-k8 Total time: 12.19 hours. Scaled time: 24.20 units (timescale=1.985). Factorization parameters were as follows: name: 50009_137 n: 15132084844002305813551973140721593577879529754928485014234706791511561393412085501945537540581801 m: 1000000000000000000000000000 c5: 500 c0: 9 skew: 0.45 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1975001) Primes: RFBsize:78498, AFBsize:64083, largePrimes:1684652 encountered Relations: rels:1727895, finalFF:191071 Max relations in full relation-set: 28 Initial matrix: 142648 x 191071 with sparse part having weight 20882416. Pruned matrix : 131206 x 131983 with weight 12913225. Total sieving time: 11.87 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.16 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 12.19 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10138+9

### c114

name 名前 Jo Yeong Uk December 16, 2007 16:16:46 UTC 2007 年 12 月 17 日 (月) 1 時 16 分 46 秒 (日本時間) `443054773188660674408303607729086637392367280159933140054775228028741936788471173247150308418917853949686442387261<114>` ```946212734975879332729540202137182929419049849<45> 468240129107916666081642626977725725851067323112806555638980157404389<69>``` ```Number: 50009_138 N=443054773188660674408303607729086637392367280159933140054775228028741936788471173247150308418917853949686442387261 ( 114 digits) SNFS difficulty: 140 digits. Divisors found: r1=946212734975879332729540202137182929419049849 (pp45) r2=468240129107916666081642626977725725851067323112806555638980157404389 (pp69) Version: GGNFS-0.77.1-20050930-nocona Total time: 4.63 hours. Scaled time: 9.87 units (timescale=2.129). Factorization parameters were as follows: n: 443054773188660674408303607729086637392367280159933140054775228028741936788471173247150308418917853949686442387261 m: 10000000000000000000000000000 c5: 1 c0: 180 skew: 2.83 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 47/47 Sieved algebraic special-q in [700000, 1000001) Primes: RFBsize:107126, AFBsize:107118, largePrimes:2193538 encountered Relations: rels:2294860, finalFF:267501 Max relations in full relation-set: 28 Initial matrix: 214308 x 267501 with sparse part having weight 20336589. Pruned matrix : 188484 x 189619 with weight 11495582. Total sieving time: 4.48 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000 total time: 4.63 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10145+9

### c108

name 名前 Robert Backstrom December 18, 2007 04:12:22 UTC 2007 年 12 月 18 日 (火) 13 時 12 分 22 秒 (日本時間) `903952834919007588982726744512079025688319216306952508354097362135326614270017939800842749245239175617050619<108>` ```8011859098238196250376857716817447795633<40> 112826851275727796887800559483225541997057785219800577879840211604843<69>``` ```Number: n N=903952834919007588982726744512079025688319216306952508354097362135326614270017939800842749245239175617050619 ( 108 digits) SNFS difficulty: 145 digits. Divisors found: Tue Dec 18 15:02:49 2007 prp40 factor: 8011859098238196250376857716817447795633 Tue Dec 18 15:02:49 2007 prp69 factor: 112826851275727796887800559483225541997057785219800577879840211604843 Tue Dec 18 15:02:49 2007 elapsed time 00:24:54 (Msieve 1.31) Version: GGNFS-0.77.1-20051202-athlon Total time: 4.79 hours. Scaled time: 8.75 units (timescale=1.829). Factorization parameters were as follows: name: KA_5_0_144_9 n: 903952834919007588982726744512079025688319216306952508354097362135326614270017939800842749245239175617050619 skew: 1.12 deg: 5 c5: 5 c0: 9 m: 100000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 900000) Primes: RFBsize:183072, AFBsize:182621, largePrimes:6411156 encountered Relations: rels:5849768, finalFF:448390 Max relations in full relation-set: 28 Initial matrix: 365759 x 448390 with sparse part having weight 26854576. Pruned matrix : 294774 x 296666 with weight 13333677. Total sieving time: 4.67 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 4.79 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 5×10147+9

### c148

name 名前 Robert Backstrom December 18, 2007 16:05:06 UTC 2007 年 12 月 19 日 (水) 1 時 5 分 6 秒 (日本時間) `5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<148>` ```5849697884884838262743075248501338289883<40> 854744996817632047461743936663945403195159505305631899758967978986218123868623742456524092166116733189586923<108>``` ```Number: n N=5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 ( 148 digits) SNFS difficulty: 149 digits. Divisors found: Wed Dec 19 02:59:00 2007 prp40 factor: 5849697884884838262743075248501338289883 Wed Dec 19 02:59:00 2007 prp108 factor: 854744996817632047461743936663945403195159505305631899758967978986218123868623742456524092166116733189586923 Wed Dec 19 02:59:00 2007 elapsed time 00:54:34 (Msieve 1.31) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 12.29 hours. Scaled time: 16.07 units (timescale=1.308). Factorization parameters were as follows: name: KA_5_0_146_9 n: 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 skew: 2.24 deg: 5 c5: 4 c0: 225 m: 500000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1500001) Primes: RFBsize:203362, AFBsize:203297, largePrimes:6971350 encountered Relations: rels:6423924, finalFF:479679 Max relations in full relation-set: 28 Initial matrix: 406723 x 479679 with sparse part having weight 30923173. Pruned matrix : Total sieving time: 12.09 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 12.29 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 5×10149+9

### c129

name 名前 Jo Yeong Uk December 17, 2007 14:11:57 UTC 2007 年 12 月 17 日 (月) 23 時 11 分 57 秒 (日本時間) `813464117579671160481609861465604632683977337341874220218641873074098242561055665721518223145604420413125413994385245321276128177<129>` ```1292831320258423031896200514838978324604313<43> 629211332393361618328576188689966621539549657057208953485058442782747222654866355168729<87>``` ```Number: 50009_149 N=813464117579671160481609861465604632683977337341874220218641873074098242561055665721518223145604420413125413994385245321276128177 ( 129 digits) SNFS difficulty: 150 digits. Divisors found: r1=1292831320258423031896200514838978324604313 (pp43) r2=629211332393361618328576188689966621539549657057208953485058442782747222654866355168729 (pp87) Version: GGNFS-0.77.1-20050930-nocona Total time: 11.28 hours. Scaled time: 24.19 units (timescale=2.145). Factorization parameters were as follows: n: 813464117579671160481609861465604632683977337341874220218641873074098242561055665721518223145604420413125413994385245321276128177 m: 1000000000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1650001) Primes: RFBsize:135072, AFBsize:134903, largePrimes:3896038 encountered Relations: rels:4055635, finalFF:434303 Max relations in full relation-set: 28 Initial matrix: 270042 x 434303 with sparse part having weight 42347910. Pruned matrix : 218215 x 219629 with weight 20005906. Total sieving time: 10.98 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.22 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000 total time: 11.28 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10151+9

### c147

name 名前 Sinkiti Sibata December 17, 2007 11:00:24 UTC 2007 年 12 月 17 日 (月) 20 時 0 分 24 秒 (日本時間) `639247222470818364294207141669969443982765894882186736898628175460577623790224631473976245573212984389582827262615543935461600419346177940856846977<147>` ```334673882571236023305008947620488003064113918729<48> 1910060078664050756982889449663405594416053618701081486519366050468241477476722382784210606901891513<100>``` ```Number: 50009_151 N=639247222470818364294207141669969443982765894882186736898628175460577623790224631473976245573212984389582827262615543935461600419346177940856846977 ( 147 digits) SNFS difficulty: 151 digits. Divisors found: r1=334673882571236023305008947620488003064113918729 (pp48) r2=1910060078664050756982889449663405594416053618701081486519366050468241477476722382784210606901891513 (pp100) Version: GGNFS-0.77.1-20060513-k8 Total time: 20.92 hours. Scaled time: 41.16 units (timescale=1.967). Factorization parameters were as follows: name 50009_151 n: 639247222470818364294207141669969443982765894882186736898628175460577623790224631473976245573212984389582827262615543935461600419346177940856846977 m: 1000000000000000000000000000000 c5: 50 c0: 9 skew: 0.71 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 1900001) Primes: RFBsize:176302, AFBsize:175768, largePrimes:5442675 encountered Relations: rels:5368300, finalFF:498395 Max relations in full relation-set: 28 Initial matrix: 352135 x 498395 with sparse part having weight 42380181. Pruned matrix : 282161 x 283985 with weight 22301234. Total sieving time: 19.66 hours. Total relation processing time: 0.13 hours. Matrix solve time: 1.00 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 20.92 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10153+9

### c150

name 名前 Robert Backstrom December 22, 2007 10:59:25 UTC 2007 年 12 月 22 日 (土) 19 時 59 分 25 秒 (日本時間) `156352606397948653804058913662090747052753369398667875793489477469589418055598986835110541292723349698239469651959098158166296632164858188185997060571<150>` ```9652395741655011049538026702985684108326820233080272800634433481<64> 16198321181881033533347435589236482009169983223746311965676775774243157661743075509891<86>``` ```Number: n N=156352606397948653804058913662090747052753369398667875793489477469589418055598986835110541292723349698239469651959098158166296632164858188185997060571 ( 150 digits) SNFS difficulty: 154 digits. Divisors found: Sat Dec 22 17:46:28 2007 prp64 factor: 9652395741655011049538026702985684108326820233080272800634433481 Sat Dec 22 17:46:28 2007 prp86 factor: 16198321181881033533347435589236482009169983223746311965676775774243157661743075509891 Sat Dec 22 17:46:28 2007 elapsed time 00:41:58 (Msieve 1.31) Version: GGNFS-0.77.1-20051202-athlon Total time: 20.36 hours. Scaled time: 35.68 units (timescale=1.752). Factorization parameters were as follows: name: KA_5_0_152_9 n: 156352606397948653804058913662090747052753369398667875793489477469589418055598986835110541292723349698239469651959098158166296632164858188185997060571 type: snfs skew: 1.41 deg: 5 c5: 8 c0: 45 m: 5000000000000000000000000000000 rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1200000) Primes: RFBsize:216816, AFBsize:215956, largePrimes:6188331 encountered Relations: rels:5704176, finalFF:531554 Max relations in full relation-set: 28 Initial matrix: 432837 x 531554 with sparse part having weight 24767036. Pruned matrix : Total sieving time: 20.20 hours. Total relation processing time: 0.16 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000 total time: 20.36 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 5×10154+9

### c130

name 名前 Sinkiti Sibata December 18, 2007 04:38:59 UTC 2007 年 12 月 18 日 (火) 13 時 38 分 59 秒 (日本時間) `1522525569869729691381144278511493679974899677541911790344380065429203883992934588841549407329972980911637269126252640383900396181<130>` ```6547416756766895807011708792092633881889587619560266369321<58> 232538362293215384924110022839616818354212477256510811617282792627275661<72>``` ```Number: 50009_154 N=1522525569869729691381144278511493679974899677541911790344380065429203883992934588841549407329972980911637269126252640383900396181 ( 130 digits) SNFS difficulty: 155 digits. Divisors found: r1=6547416756766895807011708792092633881889587619560266369321 (pp58) r2=232538362293215384924110022839616818354212477256510811617282792627275661 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 32.09 hours. Scaled time: 64.08 units (timescale=1.997). Factorization parameters were as follows: name: 50009_154 n: 1522525569869729691381144278511493679974899677541911790344380065429203883992934588841549407329972980911637269126252640383900396181 m: 10000000000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2600001) Primes: RFBsize:216816, AFBsize:216936, largePrimes:5911757 encountered Relations: rels:6144438, finalFF:787955 Max relations in full relation-set: 28 Initial matrix: 433819 x 787955 with sparse part having weight 63391684. Pruned matrix : 273376 x 275609 with weight 35731953. Total sieving time: 30.69 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.09 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 32.09 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10156+9

### c126

name 名前 Sinkiti Sibata December 18, 2007 22:54:59 UTC 2007 年 12 月 19 日 (水) 7 時 54 分 59 秒 (日本時間) `676535811554865734658433221423933641105523804759318323019495315982034160190227630983735165481246914074639192835621689847797847<126>` ```74881270812473695723895111402915691073452855235176557355117707<62> 9034780048660293802053456177468412100175147936351538480358818021<64>``` ```Number: 50009_156 N=676535811554865734658433221423933641105523804759318323019495315982034160190227630983735165481246914074639192835621689847797847 ( 126 digits) SNFS difficulty: 156 digits. Divisors found: r1=74881270812473695723895111402915691073452855235176557355117707 (pp62) r2=9034780048660293802053456177468412100175147936351538480358818021 (pp64) Version: GGNFS-0.77.1-20060513-k8 Total time: 32.37 hours. Scaled time: 64.84 units (timescale=2.003). Factorization parameters were as follows: name: 50009_156 n: 676535811554865734658433221423933641105523804759318323019495315982034160190227630983735165481246914074639192835621689847797847 m: 10000000000000000000000000000000 c5: 50 c0: 9 skew: 0.71 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2600001) Primes: RFBsize:216816, AFBsize:215821, largePrimes:5559380 encountered Relations: rels:5479029, finalFF:518470 Max relations in full relation-set: 28 Initial matrix: 432702 x 518470 with sparse part having weight 40228570. Pruned matrix : 380168 x 382395 with weight 26863487. Total sieving time: 30.33 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.72 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 32.37 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10157+9

### c121

name 名前 Sinkiti Sibata December 20, 2007 03:31:24 UTC 2007 年 12 月 20 日 (木) 12 時 31 分 24 秒 (日本時間) `3167447111981185564662038922263931214905167097009116697762326586042626329656257920880146946528001824003871576052481383723<121>` ```25360542995799645970199393340105446955335067305527210019419<59> 124896659843040259553684977555818906011332891068066978344194417<63>``` ```Number: 50009_157 N=3167447111981185564662038922263931214905167097009116697762326586042626329656257920880146946528001824003871576052481383723 ( 121 digits) SNFS difficulty: 157 digits. Divisors found: r1=25360542995799645970199393340105446955335067305527210019419 (pp59) r2=124896659843040259553684977555818906011332891068066978344194417 (pp63) Version: GGNFS-0.77.1-20060513-k8 Total time: 49.75 hours. Scaled time: 99.65 units (timescale=2.003). Factorization parameters were as follows: name: 50009_157 n: 3167447111981185564662038922263931214905167097009116697762326586042626329656257920880146946528001824003871576052481383723 m: 10000000000000000000000000000000 c5: 500 c0: 9 skew: 0.45 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3200001) Primes: RFBsize:216816, AFBsize:216721, largePrimes:5704293 encountered Relations: rels:5645688, finalFF:500017 Max relations in full relation-set: 28 Initial matrix: 433604 x 500017 with sparse part having weight 46100082. Pruned matrix : 406183 x 408415 with weight 34369135. Total sieving time: 46.98 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.40 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 49.75 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10159+9

### c152

name 名前 Robert Backstrom December 20, 2007 02:25:37 UTC 2007 年 12 月 20 日 (木) 11 時 25 分 37 秒 (日本時間) `31475082445673582785154379519455941365295532548291479331959504738066913368782543622150851143828731889261167071254720609258890289690930364974543362494011<152>` ```595062504831659452988979151082530531460782679178587<51> 52893741733194472069753410091559437984333289639309186156142766882448531546650531764689412803138414753<101>``` ```Number: n N=31475082445673582785154379519455941365295532548291479331959504738066913368782543622150851143828731889261167071254720609258890289690930364974543362494011 ( 152 digits) SNFS difficulty: 160 digits. Divisors found: r1=595062504831659452988979151082530531460782679178587 (pp51) r2=52893741733194472069753410091559437984333289639309186156142766882448531546650531764689412803138414753 (pp101) Version: GGNFS-0.77.1-20051202-athlon Total time: 20.39 hours. Scaled time: 37.07 units (timescale=1.818). Factorization parameters were as follows: name: KA_5_0_158_9 n: 31475082445673582785154379519455941365295532548291479331959504738066913368782543622150851143828731889261167071254720609258890289690930364974543362494011 skew: 1.78 deg: 5 c5: 1 c0: 18 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1400001) Primes: RFBsize:216816, AFBsize:216936, largePrimes:6939749 encountered Relations: rels:6405566, finalFF:494197 Max relations in full relation-set: 48 Initial matrix: 433819 x 494197 with sparse part having weight 37620448. Pruned matrix : 385615 x 387848 with weight 23915069. Total sieving time: 19.02 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.08 hours. Total square root time: 0.14 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 20.39 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 5×10161+9

### c136

name 名前 Robert Backstrom January 5, 2008 02:30:19 UTC 2008 年 1 月 5 日 (土) 11 時 30 分 19 秒 (日本時間) `2227527849195920167072818742245789804891947494234442788537785061825357198187109192712412964898187206347293193995545098532526760958240609<136>` ```2886044097090709483188406135551437413159237776161<49> 771827378327791401197721327141510578461690263003677335551724101499521451664262614805569<87>``` ```Number: n N=2227527849195920167072818742245789804891947494234442788537785061825357198187109192712412964898187206347293193995545098532526760958240609 ( 136 digits) SNFS difficulty: 161 digits. Divisors found: r1=2886044097090709483188406135551437413159237776161 (pp49) r2=771827378327791401197721327141510578461690263003677335551724101499521451664262614805569 (pp87) Version: GGNFS-0.77.1-20051202-athlon Total time: 26.60 hours. Scaled time: 48.65 units (timescale=1.829). Factorization parameters were as follows: name: KA_5_0_160_9 n: 2227527849195920167072818742245789804891947494234442788537785061825357198187109192712412964898187206347293193995545098532526760958240609 skew: 0.71 deg: 5 c5: 50 c0: 9 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1800001) Primes: RFBsize:216816, AFBsize:215821, largePrimes:7227690 encountered Relations: rels:6738236, finalFF:537059 Max relations in full relation-set: 48 Initial matrix: 432702 x 537059 with sparse part having weight 46858226. Pruned matrix : 354338 x 356565 with weight 27479185. Total sieving time: 25.31 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.09 hours. Total square root time: 0.05 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 26.60 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+```

## 5×10162+9

### c136

name 名前 Jo Yeong Uk December 19, 2007 08:59:58 UTC 2007 年 12 月 19 日 (水) 17 時 59 分 58 秒 (日本時間) `3131399213804256001849074551428213629637935735019969074237966310500085209940790799787801812032154644689867549984555603615483976877848609<136>` ```64374435181365818315554180691915647<35> 48643521375868913517679138570941692047144478517809618044912143356711058007954967110653981808106775647<101>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 3131399213804256001849074551428213629637935735019969074237966310500085209940790799787801812032154644689867549984555603615483976877848609 (136 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3598900258 Step 1 took 7401ms Step 2 took 4038ms ********** Factor found in step 2: 64374435181365818315554180691915647 Found probable prime factor of 35 digits: 64374435181365818315554180691915647 Probable prime cofactor 48643521375868913517679138570941692047144478517809618044912143356711058007954967110653981808106775647 has 101 digits``` `Core 2 Quad Q6600`

## 5×10163+9

### c148

name 名前 Robert Backstrom December 21, 2007 08:17:04 UTC 2007 年 12 月 21 日 (金) 17 時 17 分 4 秒 (日本時間) `3567997124893726715042848190931992165491965877318560254922568110615225565901811932175902351214161088571608357164392386147216979036661072219279275697<148>` ```994274499440732115855225384785607465089<39> 20388243227799757288129029804812187656347787<44> 176010423833552850724204320884474640196768850687932515195507552179<66>``` ```Number: n N=3567997124893726715042848190931992165491965877318560254922568110615225565901811932175902351214161088571608357164392386147216979036661072219279275697 ( 148 digits) SNFS difficulty: 164 digits. Divisors found: Fri Dec 21 19:06:29 2007 prp39 factor: 994274499440732115855225384785607465089 Fri Dec 21 19:06:29 2007 prp44 factor: 20388243227799757288129029804812187656347787 Fri Dec 21 19:06:29 2007 prp66 factor: 176010423833552850724204320884474640196768850687932515195507552179 Fri Dec 21 19:06:29 2007 elapsed time 01:29:29 (Msieve 1.31) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 46.82 hours. Scaled time: 61.47 units (timescale=1.313). Factorization parameters were as follows: name: KA_5_0_162_9 n: 3567997124893726715042848190931992165491965877318560254922568110615225565901811932175902351214161088571608357164392386147216979036661072219279275697 skew: 1.41 deg: 5 c5: 8 c0: 45 m: 500000000000000000000000000000000 type: snfs rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2200000) Primes: RFBsize:230209, AFBsize:229217, largePrimes:7357077 encountered Relations: rels:6869781, finalFF:531314 Max relations in full relation-set: 28 Initial matrix: 459491 x 531314 with sparse part having weight 41024110. Pruned matrix : 405664 x 408025 with weight 28167530. Total sieving time: 46.52 hours. Total relation processing time: 0.30 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000 total time: 46.82 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 5×10164+9

### c165

name 名前 Jo Yeong Uk December 18, 2007 10:12:39 UTC 2007 年 12 月 18 日 (火) 19 時 12 分 39 秒 (日本時間) `500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<165>` ```6673964901781837641922867159706054031558290898862034367879686441388466755506249<79> 74917984640061309718805919117074967560324362619058281263115508699855177428830489506241<86>``` ```Number: 50009_164 N=500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 ( 165 digits) SNFS difficulty: 165 digits. Divisors found: r1=6673964901781837641922867159706054031558290898862034367879686441388466755506249 (pp79) r2=74917984640061309718805919117074967560324362619058281263115508699855177428830489506241 (pp86) Version: GGNFS-0.77.1-20050930-nocona Total time: 39.42 hours. Scaled time: 84.59 units (timescale=2.146). Factorization parameters were as follows: n: 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 m: 1000000000000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved algebraic special-q in [2500000, 4600001) Primes: RFBsize:348513, AFBsize:348406, largePrimes:6566352 encountered Relations: rels:6735729, finalFF:809660 Max relations in full relation-set: 28 Initial matrix: 696986 x 809660 with sparse part having weight 54958042. Pruned matrix : 606950 x 610498 with weight 38013089. Total sieving time: 37.13 hours. Total relation processing time: 0.10 hours. Matrix solve time: 2.13 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,49,49,2.5,2.5,100000 total time: 39.42 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10165+9

### c142

name 名前 Robert Backstrom January 29, 2008 11:33:48 UTC 2008 年 1 月 29 日 (火) 20 時 33 分 48 秒 (日本時間) `2586767420097561192409423271022213243582215458887437064871876133063984529442389277700589863096152552225818498334958007864114097635822144659371<142>` ```2818939442454687157524932103668483<34> 54054662364681162784830736490034092875986992681<47> 16976121589164324923231167526328949052941343024340689600524177<62>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 2586767420097561192409423271022213243582215458887437064871876133063984529442389277700589863096152552225818498334958007864114097635822144659371 (142 digits) Using B1=3218000, B2=5707206970, polynomial Dickson(6), sigma=2627230434 Step 1 took 34891ms Step 2 took 13285ms ********** Factor found in step 2: 2818939442454687157524932103668483 Found probable prime factor of 34 digits: 2818939442454687157524932103668483 Composite cofactor 917638520764052206896551340018795507931530546527901174784162865815188938411283681136417866187149051462548537 has 108 digits Number: n N=917638520764052206896551340018795507931530546527901174784162865815188938411283681136417866187149051462548537 ( 108 digits) Divisors found: Tue Jan 29 22:25:04 2008 prp47 factor: 54054662364681162784830736490034092875986992681 Tue Jan 29 22:25:04 2008 prp62 factor: 16976121589164324923231167526328949052941343024340689600524177 Tue Jan 29 22:25:04 2008 elapsed time 00:34:55 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 10.53 hours. Scaled time: 6.85 units (timescale=0.651). Factorization parameters were as follows: name: KA_5_0_164_9 n: 917638520764052206896551340018795507931530546527901174784162865815188938411283681136417866187149051462548537 skew: 12661.24 # norm 8.65e+14 c5: 38640 c4: 1501673822 c3: -9563743305193 c2: 326542209276603545 c1: -784249620915261605303 c0: -3465551045340897498365887 # alpha -5.89 Y1: 180905640823 Y0: -473288130946733068878 # Murphy_E 1.29e-09 # M 615124226853032890747798413252407572674371891804947226660272403689813790259428441717994802080173114188169006 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 1600253) Primes: RFBsize:183072, AFBsize:182897, largePrimes:4231691 encountered Relations: rels:4183086, finalFF:395397 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 10.38 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 10.53 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848) Total of 2 processors activated (12009.47 BogoMIPS).```

## 5×10167+9

### c108

name 名前 Sinkiti Sibata December 23, 2007 10:07:14 UTC 2007 年 12 月 23 日 (日) 19 時 7 分 14 秒 (日本時間) `245465291570409554408333235492955931297544893177855395881640586610749416809020286506572455808735126099146131<108>` ```247594231851496673861477854899257<33> 991401494836260862208699840210242066186026283682422229091025681417922365483<75>``` ```Number: 50009_167 N=245465291570409554408333235492955931297544893177855395881640586610749416809020286506572455808735126099146131 ( 108 digits) SNFS difficulty: 167 digits. Divisors found: r1=247594231851496673861477854899257 (pp33) r2=991401494836260862208699840210242066186026283682422229091025681417922365483 (pp75) Version: GGNFS-0.77.1-20060722-nocona Total time: 148.51 hours. Scaled time: 295.68 units (timescale=1.991). Factorization parameters were as follows: name: 50009_167 n: 245465291570409554408333235492955931297544893177855395881640586610749416809020286506572455808735126099146131 m: 1000000000000000000000000000000000 c5: 500 c0: 9 skew: 0.45 type: snfs Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2750000, 7250001) Primes: RFBsize:380800, AFBsize:380707, largePrimes:6144009 encountered Relations: rels:6397329, finalFF:900175 Max relations in full relation-set: 32 Initial matrix: 761574 x 900175 with sparse part having weight 67509735. Pruned matrix : 652300 x 656171 with weight 49587514. Total sieving time: 142.12 hours. Total relation processing time: 0.32 hours. Matrix solve time: 5.80 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000 total time: 148.51 hours. --------- CPU info (if available) ----------``` `by ggnfs-cvs, Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10168+9

### c144

name 名前 Robert Backstrom May 8, 2009 15:55:52 UTC 2009 年 5 月 9 日 (土) 0 時 55 分 52 秒 (日本時間) `470609933665664958580762326468921066700739717896012857757398341392913611302788239153743792964744616831365739935156375436723459571584868354723967<144>` ```657641273061186958218573106478356106521035023165800368518412163301<66> 715602795845022032566832013234571359667906810279528894626944306683762500542867<78>``` ```Number: n N=470609933665664958580762326468921066700739717896012857757398341392913611302788239153743792964744616831365739935156375436723459571584868354723967 ( 144 digits) SNFS difficulty: 169 digits. Divisors found: Sat May 09 01:47:51 2009 prp66 factor: 657641273061186958218573106478356106521035023165800368518412163301 Sat May 09 01:47:51 2009 prp78 factor: 715602795845022032566832013234571359667906810279528894626944306683762500542867 Sat May 09 01:47:51 2009 elapsed time 01:14:58 (Msieve 1.39 - dependency 1) Version: GGNFS-0.77.1-20060513-pentium-m Total time: 32.75 hours. Scaled time: 86.75 units (timescale=2.649). Factorization parameters were as follows: name: KA_5_0_167_9 n: 470609933665664958580762326468921066700739717896012857757398341392913611302788239153743792964744616831365739935156375436723459571584868354723967 m: 5000000000000000000000000000000000 deg: 5 c5: 8 c0: 45 skew: 1.41 type: snfs lss: 1 rlim: 4700000 alim: 4700000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [2350000, 4171283) Primes: RFBsize:328964, AFBsize:327919, largePrimes:15583929 encountered Relations: rels:14730311, finalFF:685939 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1364602 hash collisions in 15945930 relations Msieve: matrix is 794020 x 794268 (213.9 MB) Total sieving time: 32.26 hours. Total relation processing time: 0.49 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,28,28,56,56,2.4,2.4,100000 total time: 32.75 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6260 / 825Jo Yeong UkJuly 24, 2008 07:55:49 UTC 2008 年 7 月 24 日 (木) 16 時 55 分 49 秒 (日本時間)

## 5×10169+9

### c141

name 名前 Robert Backstrom June 22, 2009 17:26:34 UTC 2009 年 6 月 23 日 (火) 2 時 26 分 34 秒 (日本時間) `346571563400596869585973019313910592991068897473874180601102588897696004361669211747830725681790090285548632257724403837334518143947437896227<141>` ```41281411513583644762377184791184555905650687227<47> 8395341891024184763633786646465985958174272838380095043933734588514621669155826987694109067001<94>``` ```Number: n N=346571563400596869585973019313910592991068897473874180601102588897696004361669211747830725681790090285548632257724403837334518143947437896227 ( 141 digits) SNFS difficulty: 170 digits. Divisors found: Tue Jun 23 03:22:08 2009 prp47 factor: 41281411513583644762377184791184555905650687227 Tue Jun 23 03:22:08 2009 prp94 factor: 8395341891024184763633786646465985958174272838380095043933734588514621669155826987694109067001 Tue Jun 23 03:22:08 2009 elapsed time 01:53:33 (Msieve 1.39 - dependency 1) Version: GGNFS-0.77.1-20060513-pentium-m Total time: 34.53 hours. Scaled time: 92.22 units (timescale=2.671). Factorization parameters were as follows: name: KA_5_0_168_9 n: 346571563400596869585973019313910592991068897473874180601102588897696004361669211747830725681790090285548632257724403837334518143947437896227 m: 10000000000000000000000000000000000 deg: 5 c5: 1 c0: 18 skew: 1.78 type: snfs lss: 1 rlim: 4800000 alim: 4800000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 4800000/4800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [2400000, 4312493) Primes: RFBsize:335439, AFBsize:335377, largePrimes:15839972 encountered Relations: rels:14929612, finalFF:644433 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1396892 hash collisions in 16096513 relations Msieve: matrix is 859768 x 860016 (230.2 MB) Total sieving time: 34.09 hours. Total relation processing time: 0.44 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000 total time: 34.53 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

## 5×10171+9

### c152

name 名前 Robert Backstrom May 23, 2009 07:55:58 UTC 2009 年 5 月 23 日 (土) 16 時 55 分 58 秒 (日本時間) `41622160083449093835715177170359909547044068164867790126481396040503116696826064618716663968196854901778090190322063002576843971520433247969928483414777<152>` ```30861275933615391341234232012900752504190775857799782307643<59> 1348685652951649280820481874144969335193186551718062790432538324525777278141762353767694766939<94>``` ```Number: n N=41622160083449093835715177170359909547044068164867790126481396040503116696826064618716663968196854901778090190322063002576843971520433247969928483414777 ( 152 digits) SNFS difficulty: 171 digits. Divisors found: Sat May 23 11:46:27 2009 prp59 factor: 30861275933615391341234232012900752504190775857799782307643 Sat May 23 11:46:27 2009 prp94 factor: 1348685652951649280820481874144969335193186551718062790432538324525777278141762353767694766939 Sat May 23 11:46:27 2009 elapsed time 01:19:08 (Msieve 1.39 - dependency 1) Version: GGNFS-0.77.1-20060513-pentium-m Total time: 45.61 hours. Scaled time: 60.89 units (timescale=1.335). Factorization parameters were as follows: name: KA_5_0_170_9 n: 41622160083449093835715177170359909547044068164867790126481396040503116696826064618716663968196854901778090190322063002576843971520433247969928483414777 m: 10000000000000000000000000000000000 deg: 5 c5: 50 c0: 9 skew: 0.71 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [2550000, 5039821) Primes: RFBsize:354971, AFBsize:354121, largePrimes:16733383 encountered Relations: rels:16062335, finalFF:753335 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1755175 hash collisions in 18017048 relations Msieve: matrix is 843918 x 844166 (226.5 MB) Total sieving time: 45.09 hours. Total relation processing time: 0.52 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,28,28,56,56,2.4,2.4,100000 total time: 45.61 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

## 5×10172+9

### c143

name 名前 Sinkiti Sibata February 27, 2010 06:25:58 UTC 2010 年 2 月 27 日 (土) 15 時 25 分 58 秒 (日本時間) `56704682548808921684461190472347423838827601461105094716749924049553678617169447128236227221533629444517912595926330554613817217335496672401861<143>` ```3513617694467679263991193319689490714753909<43> 16138546500973209789112130835645839209009465632063747758714892962102167170312235103575340218524576529<101>``` ```Number: 50009_172 N=56704682548808921684461190472347423838827601461105094716749924049553678617169447128236227221533629444517912595926330554613817217335496672401861 ( 143 digits) SNFS difficulty: 172 digits. Divisors found: r1=3513617694467679263991193319689490714753909 (pp43) r2=16138546500973209789112130835645839209009465632063747758714892962102167170312235103575340218524576529 (pp101) Version: Msieve-1.40 Total time: 99.49 hours. Scaled time: 270.33 units (timescale=2.717). Factorization parameters were as follows: name: 50009_172 n: 56704682548808921684461190472347423838827601461105094716749924049553678617169447128236227221533629444517912595926330554613817217335496672401861 m: 10000000000000000000000000000000000 deg: 5 c5: 500 c0: 9 skew: 0.45 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2650000, 6250001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1028185 x 1028433 Total sieving time: 96.34 hours. Total relation processing time: 0.14 hours. Matrix solve time: 2.72 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000 total time: 99.49 hours. --------- CPU info (if available) ----------``` `Core i7 2.93GHz,Windows 7 64bit,and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 28, 2009 12:28:29 UTC 2009 年 7 月 28 日 (火) 21 時 28 分 29 秒 (日本時間)

## 5×10173+9

### c160

name 名前 Ignacio Santos September 27, 2009 15:50:40 UTC 2009 年 9 月 28 日 (月) 0 時 50 分 40 秒 (日本時間) `5537827294174018715006923146346517706518949763642303394687652952323188747315622781370433986338555803686968324980195112714660389533930115707061390787492182110171<160>` ```226341838289515047722055879603441350450576514056429807821686474775748639597657<78> 24466653341794257255957958567501020770819886635243086406040717196519997052907339603<83>``` ```Number: 50009_173 N=5537827294174018715006923146346517706518949763642303394687652952323188747315622781370433986338555803686968324980195112714660389533930115707061390787492182110171 ( 160 digits) SNFS difficulty: 174 digits. Divisors found: r1=226341838289515047722055879603441350450576514056429807821686474775748639597657 (pp78) r2=24466653341794257255957958567501020770819886635243086406040717196519997052907339603 (pp83) Version: Msieve-1.40 Total time: 57.65 hours. Scaled time: 100.54 units (timescale=1.744). Factorization parameters were as follows: n: 5537827294174018715006923146346517706518949763642303394687652952323188747315622781370433986338555803686968324980195112714660389533930115707061390787492182110171 m: 50000000000000000000000000000000000 deg: 5 c5: 8 c0: 45 skew: 1.41 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2800000, 5700001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1001445 x 1001678 Total sieving time: 56.14 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.29 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 57.65 hours.``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 13, 2009 07:33:48 UTC 2009 年 9 月 13 日 (日) 16 時 33 分 48 秒 (日本時間)

## 5×10174+9

### c168

name 名前 matsui March 26, 2008 23:00:13 UTC 2008 年 3 月 27 日 (木) 8 時 0 分 13 秒 (日本時間) `360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227<168>` ```6932341858585301203147155694949322507634968456323255381<55> 52070801363035000937721717804698385278518754334939026472475690096827289091076030500703551512192216650466491354767<113>``` ```N=360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227 ( 168 digits) SNFS difficulty: 175 digits. Divisors found: r1=6932341858585301203147155694949322507634968456323255381 (pp55) r2=52070801363035000937721717804698385278518754334939026472475690096827289091076030500703551512192216650466491354767 (pp113) Version: GGNFS-0.77.1-20060513-prescott Total time: 179.84 hours. Scaled time: 204.47 units (timescale=1.137). Factorization parameters were as follows: n: 360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227 m: 100000000000000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 10200001) Primes: RFBsize:501962, AFBsize:502056, largePrimes:6407087 encountered Relations: rels:6887568, finalFF:1161225 Max relations in full relation-set: 28 Initial matrix: 1004085 x 1161225 with sparse part having weight 66785490. Pruned matrix : 866238 x 871322 with weight 48815069. Total sieving time: 165.19 hours. Total relation processing time: 0.13 hours. Matrix solve time: 14.16 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 179.84 hours.```

## 5×10176+9

### c166

name 名前 Dmitry Domanov July 5, 2011 11:04:05 UTC 2011 年 7 月 5 日 (火) 20 時 4 分 5 秒 (日本時間) `1312512287564979856987441928005629921559574749950800757122000125184025206147560591592327593467303348115243470854503541936940203728347905120819339265164921099499962167<166>` ```2267096085676004511924687932790476999892895181611193461<55> 578939858728402285761082136856519791869569532806007328519852545263777434502583051890642867081693808902454599547<111>``` ```N=1312512287564979856987441928005629921559574749950800757122000125184025206147560591592327593467303348115243470854503541936940203728347905120819339265164921099499962167 ( 166 digits) SNFS difficulty: 176 digits. Divisors found: r1=2267096085676004511924687932790476999892895181611193461 (pp55) r2=578939858728402285761082136856519791869569532806007328519852545263777434502583051890642867081693808902454599547 (pp111) Version: Msieve-1.40 Total time: 68.46 hours. Scaled time: 133.63 units (timescale=1.952). Factorization parameters were as follows: n: 1312512287564979856987441928005629921559574749950800757122000125184025206147560591592327593467303348115243470854503541936940203728347905120819339265164921099499962167 m: 100000000000000000000000000000000000 deg: 5 c5: 50 c0: 9 skew: 0.71 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 300000Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 6400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1311479 x 1311708 Total sieving time: 66.11 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.91 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 68.46 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 1, 2011 14:56:26 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 26 秒 (日本時間)
2036Wataru SakaiJune 26, 2011 06:13:49 UTC 2011 年 6 月 26 日 (日) 15 時 13 分 49 秒 (日本時間)

## 5×10177+9

### c173

name 名前 Ignacio Santos March 10, 2009 16:14:17 UTC 2009 年 3 月 11 日 (水) 1 時 14 分 17 秒 (日本時間) `13817002097420918388495411373603446513003180673882826295413031643698203513387293332191127826613204079884379326448781754925070397625686359579189384120948509559983751205533433<173>` ```59065588279102023578540722642848366939231685729<47> 233926428229777021792526147696670859387164608180601153770469223624167359153947326848196873305595620698830254470527744319418777<126>``` ```Number: 50009_177 N=13817002097420918388495411373603446513003180673882826295413031643698203513387293332191127826613204079884379326448781754925070397625686359579189384120948509559983751205533433 ( 173 digits) SNFS difficulty: 178 digits. Divisors found: r1=59065588279102023578540722642848366939231685729 (pp47) r2=233926428229777021792526147696670859387164608180601153770469223624167359153947326848196873305595620698830254470527744319418777 (pp126) Version: Msieve-1.39 Total time: 100.42 hours. Scaled time: 174.63 units (timescale=1.739). Factorization parameters were as follows: n: 13817002097420918388495411373603446513003180673882826295413031643698203513387293332191127826613204079884379326448781754925070397625686359579189384120948509559983751205533433 m: 200000000000000000000000000000000000 deg: 5 c5: 125 c0: 72 skew: 0.90 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6600000/6600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3300000, 8400001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1405205 x 1405453 Total sieving time: 100.42 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000 total time: 100.42 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

## 5×10179+9

### c135

name 名前 Serge Batalov August 6, 2008 07:32:56 UTC 2008 年 8 月 6 日 (水) 16 時 32 分 56 秒 (日本時間) `216418081247335611966724347861462769033868822098445317981397648713202782262952755513722768667567883939659331568102162377889696716332299<135>` ```12944269695080218973540346309891121<35> 1416113441407550287859867356704288481<37> 11806412269556885461858705275762974929092425790557887195787409499<65>``` ```Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3581677858 Step 1 took 3904ms Step 2 took 3752ms ********** Factor found in step 2: 12944269695080218973540346309891121 Found probable prime factor of 35 digits: 12944269695080218973540346309891121 Composite cofactor 16719219109718527335685783927057161772888685825706508837251201359866567487929188872684878878975681019 has 101 digits # # then gnfs-101 # Number: 50009_179 N=16719219109718527335685783927057161772888685825706508837251201359866567487929188872684878878975681019 ( 101 digits) Divisors found: r1=1416113441407550287859867356704288481 r2=11806412269556885461858705275762974929092425790557887195787409499 Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.736). Factorization parameters were as follows: name: 50009_179 n: 16719219109718527335685783927057161772888685825706508837251201359866567487929188872684878878975681019 skew: 6884.51 # norm 1.80e+14 c5: 59040 c4: 1540165672 c3: 1429662248062 c2: -5353850835984479 c1: -182843902268221600200 c0: 165393405335782266813485 # alpha -6.13 Y1: 32528906267 Y0: -12314249336339487954 # Murphy_E 3.05e-09 # M 2698677695487388832340123883243887723436621037793473171541586333935792498476842577280377936006176964 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1500001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 220160 x 220404 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 3.10 hours.``` `GMP-ECM 6.2.1+pol51+Msieve 1.36` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

## 5×10180+9

### c130

name 名前 Robert Backstrom February 25, 2012 04:41:14 UTC 2012 年 2 月 25 日 (土) 13 時 41 分 14 秒 (日本時間) `3227099888947687300872456624581499339006264036993383266271846541616185259075966632295705563272595406165069727568035376625684458407<130>` ```412549853389705450604184785579092801528490819701<48> 7822327077399985893101213355973240293508438090353192378150797386362549707399870507<82>``` ```Number: n N=3227099888947687300872456624581499339006264036993383266271846541616185259075966632295705563272595406165069727568035376625684458407 ( 130 digits) Divisors found: Sat Feb 25 15:30:11 2012 prp48 factor: 412549853389705450604184785579092801528490819701 Sat Feb 25 15:30:11 2012 prp82 factor: 7822327077399985893101213355973240293508438090353192378150797386362549707399870507 Sat Feb 25 15:30:11 2012 elapsed time 01:57:32 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.620). Factorization parameters were as follows: name: KA_50009_180 n: 3227099888947687300872456624581499339006264036993383266271846541616185259075966632295705563272595406165069727568035376625684458407 skew: 133995.90 # norm 4.36e+17 c5: 12240 c4: 80608800388 c3: 3334852707202660 c2: -1277958623882580468362 c1: 2777035085185740989447913 c0: 1043876706838576123021452081476 # alpha -5.38 Y1: 1102747005271 Y0: -12139649453338301094997177 # Murphy_E 7.11e-11 # M 1814063363253585389080907497606333724042176341569338865505369041519750902909163520999799222753705207426780006286038179812429935213 type: gnfs rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 qintsize: 60000 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14160000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2294184 hash collisions in 11800608 relations (9544975 unique) Msieve: matrix is 1064812 x 1065036 (308.0 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovApril 1, 2011 14:56:38 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 38 秒 (日本時間)
770Ignacio SantosJuly 4, 2011 18:28:50 UTC 2011 年 7 月 5 日 (火) 3 時 28 分 50 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJuly 4, 2011 18:28:50 UTC 2011 年 7 月 5 日 (火) 3 時 28 分 50 秒 (日本時間)
5043e661 / 7464Ignacio SantosJuly 4, 2011 18:28:50 UTC 2011 年 7 月 5 日 (火) 3 時 28 分 50 秒 (日本時間)

## 5×10181+9

### c164

name 名前 Rich Dickerson June 12, 2013 18:04:08 UTC 2013 年 6 月 13 日 (木) 3 時 4 分 8 秒 (日本時間) `11346024166981709854618517157764232992362362043081964630888035589514128605210276814797108867416610010170387883950100314461952154544084957495541629689613014399374681<164>` `4659737595042735914021139189449725139<37>` `2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379<127>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1343730387 Step 1 took 7990ms Step 2 took 3011ms ********** Factor found in step 2: 4659737595042735914021139189449725139 Found probable prime factor of 37 digits: 4659737595042735914021139189449725139 Composite cofactor 2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379 has 127 digits``` `GMP-ECM 6.4.4 [configured with GMP 5.1.1, --enable-asm-redc] [ECM]` `Core-i5, 3.4 GHz, OpenSUSE`

### c127

name 名前 Erik Branger June 23, 2013 09:24:02 UTC 2013 年 6 月 23 日 (日) 18 時 24 分 2 秒 (日本時間) `2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379<127>` ```501637343728199539635857944531453487762460239323<48> 4853917426095812702358607385787709745327615926086552205306331546905792229683673<79>``` ```Number: 50009_131 N = 2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379 (127 digits) Divisors found: r1=501637343728199539635857944531453487762460239323 (pp48) r2=4853917426095812702358607385787709745327615926086552205306331546905792229683673 (pp79) Version: Msieve v. 1.51 (SVN 845) Total time: 63.38 hours. Factorization parameters were as follows: # Murphy_E = 1.15e-10, selected by Erik Branger n: 2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379 Y0: -3614273122499930456702364 Y1: 8354372407813 c0: 5845145200691110466645308056395 c1: -287846425803131947873327739 c2: -1016705662844178445267 c3: 1949263420952691 c4: 1017859372 c5: 3948 skew: 427482.72 type: gnfs # selected mechanically rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 16881365 Relations: 2043394 relations Pruned matrix : 1174576 x 1174807 Polynomial selection time: 0.00 hours. Total sieving time: 62.16 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.97 hours. time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,28,28,53,53,2.5,2.5,100000 total time: 63.38 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6408300Dmitry DomanovApril 1, 2011 14:56:51 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 51 秒 (日本時間)
108Rich DickersonJune 13, 2013 21:24:01 UTC 2013 年 6 月 14 日 (金) 6 時 24 分 1 秒 (日本時間)
4511e6600 / 4038Rich DickersonJune 13, 2013 22:32:24 UTC 2013 年 6 月 14 日 (金) 7 時 32 分 24 秒 (日本時間)
5043e6100 / 7403Rich DickersonJune 13, 2013 23:17:55 UTC 2013 年 6 月 14 日 (金) 8 時 17 分 55 秒 (日本時間)

## 5×10182+9

### c162

name 名前 Dmitry Domanov April 1, 2011 12:43:36 UTC 2011 年 4 月 1 日 (金) 21 時 43 分 36 秒 (日本時間) `403043042808227787854006003675692913731920746031759824459795282376743763486185349544333776277372577962908346608255732215060271562137162744281475443482317273869489<162>` ```107082422725698159126343178713029289<36> 3763858087528155671731302239613408517034992170585967034589679866741991612081596737189594926028919606343151862364864628885081801<127>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2705000972 Step 1 took 27305ms Step 2 took 7503ms ********** Factor found in step 2: 107082422725698159126343178713029289 Found probable prime factor of 36 digits: 107082422725698159126343178713029289 Probable prime cofactor 3763858087528155671731302239613408517034992170585967034589679866741991612081596737189594926028919606343151862364864628885081801 has 127 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

## 5×10183+9

### c147

name 名前 Youcef Lemsafer December 20, 2013 00:08:35 UTC 2013 年 12 月 20 日 (金) 9 時 8 分 35 秒 (日本時間) `789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009<147>` ```25744339498794244614792434529796544380625347255625775543547<59> 30664978879630357682946763894807689607891730850105143946828167404348392355269974240979947<89>``` ```Tue Dec 17 10:55:02 2013 -> factmsieve.py (v0.76) Tue Dec 17 10:55:02 2013 -> This is client 1 of 1 Tue Dec 17 10:55:02 2013 -> Running on 2 Cores with 2 hyper-threads per Core Tue Dec 17 10:55:02 2013 -> Working with NAME = 50009_183 Tue Dec 17 10:55:02 2013 -> Selected lattice siever: gnfs-lasieve4I13e Tue Dec 17 10:55:02 2013 -> Creating param file to detect parameter changes... Tue Dec 17 10:55:02 2013 -> Running setup ... Tue Dec 17 10:55:02 2013 -> Estimated minimum relations needed: 1.74927e+07 Tue Dec 17 10:55:02 2013 -> cleaning up before a restart Tue Dec 17 10:55:02 2013 -> Running lattice siever ... Tue Dec 17 10:55:02 2013 -> entering sieving loop <...snipped...> Tue Dec 17 10:55:02 2013 -> Lattice sieving rational q from 3500000 to 3600000. <...snipped...> Tue Dec 17 11:51:29 2013 Found 377085 relations, 2.2% of the estimated minimum (17492711). <...snipped...> Tue Dec 17 21:28:21 2013 -> Lattice sieving rational q from 4600000 to 4700000. <...snipped...> Tue Dec 17 22:27:13 2013 Found 4561155 relations, 26.1% of the estimated minimum (17492711). <...snipped...> Wed Dec 18 09:19:19 2013 -> Lattice sieving rational q from 5800000 to 5900000. <...snipped...> Wed Dec 18 10:21:07 2013 Found 9053198 relations, 51.8% of the estimated minimum (17492711). <...snipped...> Wed Dec 18 21:21:40 2013 -> Lattice sieving rational q from 6900000 to 7000000. <...snipped...> Wed Dec 18 22:26:32 2013 Found 13098676 relations, 74.9% of the estimated minimum (17492711). <...snipped...> Thu Dec 19 10:12:14 2013 -> Lattice sieving rational q from 8100000 to 8200000. <...snipped...> Thu Dec 19 11:16:43 2013 Found 17419097 relations, 99.6% of the estimated minimum (17492711). <...snipped...> Thu Dec 19 19:08:02 2013 -> Lattice sieving rational q from 8800000 to 8900000. <...snipped...> Thu Dec 19 20:15:20 2013 Found 20600536 relations, 117.8% of the estimated minimum (17492711). Thu Dec 19 20:15:20 2013 Thu Dec 19 20:15:20 2013 Thu Dec 19 20:15:20 2013 Msieve v. 1.51 (SVN 845) Thu Dec 19 20:15:20 2013 random seeds: 06dfef88 dbfe128f Thu Dec 19 20:15:20 2013 factoring 789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009 (147 digits) Thu Dec 19 20:15:21 2013 searching for 15-digit factors Thu Dec 19 20:15:22 2013 commencing number field sieve (147-digit input) Thu Dec 19 20:15:22 2013 R0: -5000000000000000000000000000000000000 Thu Dec 19 20:15:22 2013 R1: 1 Thu Dec 19 20:15:23 2013 A0: 45 Thu Dec 19 20:15:23 2013 A1: 0 Thu Dec 19 20:15:23 2013 A2: 0 Thu Dec 19 20:15:23 2013 A3: 0 Thu Dec 19 20:15:23 2013 A4: 0 Thu Dec 19 20:15:23 2013 A5: 8 Thu Dec 19 20:15:23 2013 skew 1.41, size 9.816e-013, alpha 0.043, combined = 7.976e-011 rroots = 1 Thu Dec 19 20:15:23 2013 Thu Dec 19 20:15:23 2013 commencing relation filtering Thu Dec 19 20:15:23 2013 estimated available RAM is 4095.6 MB Thu Dec 19 20:15:23 2013 commencing duplicate removal, pass 1 Thu Dec 19 20:17:18 2013 found 2450876 hash collisions in 20600535 relations Thu Dec 19 20:17:52 2013 added 898 free relations Thu Dec 19 20:17:52 2013 commencing duplicate removal, pass 2 Thu Dec 19 20:19:28 2013 found 2040515 duplicates and 18560918 unique relations Thu Dec 19 20:19:28 2013 memory use: 98.6 MB Thu Dec 19 20:19:28 2013 reading ideals above 8847360 Thu Dec 19 20:19:31 2013 commencing singleton removal, initial pass Thu Dec 19 20:22:17 2013 memory use: 376.5 MB Thu Dec 19 20:22:17 2013 reading all ideals from disk Thu Dec 19 20:22:17 2013 memory use: 341.8 MB Thu Dec 19 20:22:18 2013 commencing in-memory singleton removal Thu Dec 19 20:22:19 2013 begin with 18560918 relations and 19782047 unique ideals Thu Dec 19 20:22:29 2013 reduce to 6915530 relations and 5592378 ideals in 21 passes Thu Dec 19 20:22:29 2013 max relations containing the same ideal: 43 Thu Dec 19 20:22:30 2013 reading ideals above 100000 Thu Dec 19 20:22:30 2013 commencing singleton removal, initial pass Thu Dec 19 20:24:23 2013 memory use: 188.3 MB Thu Dec 19 20:24:23 2013 reading all ideals from disk Thu Dec 19 20:24:23 2013 memory use: 261.4 MB Thu Dec 19 20:24:24 2013 keeping 6745663 ideals with weight <= 200, target excess is 36426 Thu Dec 19 20:24:25 2013 commencing in-memory singleton removal Thu Dec 19 20:24:25 2013 begin with 6916429 relations and 6745663 unique ideals Thu Dec 19 20:24:39 2013 reduce to 6913341 relations and 6738138 ideals in 18 passes Thu Dec 19 20:24:39 2013 max relations containing the same ideal: 200 Thu Dec 19 20:24:43 2013 removing 741475 relations and 675001 ideals in 66474 cliques Thu Dec 19 20:24:43 2013 commencing in-memory singleton removal Thu Dec 19 20:24:44 2013 begin with 6171866 relations and 6738138 unique ideals Thu Dec 19 20:24:51 2013 reduce to 6098421 relations and 5988638 ideals in 10 passes Thu Dec 19 20:24:51 2013 max relations containing the same ideal: 190 Thu Dec 19 20:24:54 2013 removing 543525 relations and 477051 ideals in 66474 cliques Thu Dec 19 20:24:54 2013 commencing in-memory singleton removal Thu Dec 19 20:24:54 2013 begin with 5554896 relations and 5988638 unique ideals Thu Dec 19 20:25:00 2013 reduce to 5510872 relations and 5467037 ideals in 10 passes Thu Dec 19 20:25:00 2013 max relations containing the same ideal: 179 Thu Dec 19 20:25:05 2013 relations with 0 large ideals: 794 Thu Dec 19 20:25:05 2013 relations with 1 large ideals: 74 Thu Dec 19 20:25:05 2013 relations with 2 large ideals: 1006 Thu Dec 19 20:25:05 2013 relations with 3 large ideals: 13261 Thu Dec 19 20:25:05 2013 relations with 4 large ideals: 97175 Thu Dec 19 20:25:05 2013 relations with 5 large ideals: 412753 Thu Dec 19 20:25:05 2013 relations with 6 large ideals: 1103453 Thu Dec 19 20:25:05 2013 relations with 7+ large ideals: 3882356 Thu Dec 19 20:25:05 2013 commencing 2-way merge Thu Dec 19 20:25:09 2013 reduce to 3131819 relation sets and 3087985 unique ideals Thu Dec 19 20:25:09 2013 ignored 2 oversize relation sets Thu Dec 19 20:25:09 2013 commencing full merge Thu Dec 19 20:26:14 2013 memory use: 327.5 MB Thu Dec 19 20:26:14 2013 found 1596347 cycles, need 1592185 Thu Dec 19 20:26:15 2013 weight of 1592185 cycles is about 111481948 (70.02/cycle) Thu Dec 19 20:26:15 2013 distribution of cycle lengths: Thu Dec 19 20:26:15 2013 1 relations: 223496 Thu Dec 19 20:26:15 2013 2 relations: 195028 Thu Dec 19 20:26:15 2013 3 relations: 188485 Thu Dec 19 20:26:15 2013 4 relations: 165324 Thu Dec 19 20:26:15 2013 5 relations: 142308 Thu Dec 19 20:26:15 2013 6 relations: 121242 Thu Dec 19 20:26:15 2013 7 relations: 103115 Thu Dec 19 20:26:15 2013 8 relations: 85096 Thu Dec 19 20:26:15 2013 9 relations: 70552 Thu Dec 19 20:26:15 2013 10+ relations: 297539 Thu Dec 19 20:26:15 2013 heaviest cycle: 27 relations Thu Dec 19 20:26:15 2013 commencing cycle optimization Thu Dec 19 20:26:17 2013 start with 9306453 relations Thu Dec 19 20:26:36 2013 pruned 169917 relations Thu Dec 19 20:26:36 2013 memory use: 252.8 MB Thu Dec 19 20:26:36 2013 distribution of cycle lengths: Thu Dec 19 20:26:36 2013 1 relations: 223496 Thu Dec 19 20:26:36 2013 2 relations: 198658 Thu Dec 19 20:26:36 2013 3 relations: 193741 Thu Dec 19 20:26:36 2013 4 relations: 167894 Thu Dec 19 20:26:36 2013 5 relations: 144585 Thu Dec 19 20:26:36 2013 6 relations: 121679 Thu Dec 19 20:26:36 2013 7 relations: 103170 Thu Dec 19 20:26:36 2013 8 relations: 84490 Thu Dec 19 20:26:36 2013 9 relations: 69738 Thu Dec 19 20:26:36 2013 10+ relations: 284734 Thu Dec 19 20:26:36 2013 heaviest cycle: 27 relations Thu Dec 19 20:26:37 2013 RelProcTime: 674 Thu Dec 19 20:26:37 2013 elapsed time 00:11:17 Thu Dec 19 20:26:37 2013 LatSieveTime: 4715.44 Thu Dec 19 20:26:37 2013 -> Running matrix solving step ... <...snipped...> Thu Dec 19 20:26:39 2013 commencing linear algebra Thu Dec 19 20:26:40 2013 read 1592185 cycles Thu Dec 19 20:26:43 2013 cycles contain 5436020 unique relations Thu Dec 19 20:29:40 2013 read 5436020 relations Thu Dec 19 20:29:49 2013 using 20 quadratic characters above 268435400 Thu Dec 19 20:30:12 2013 building initial matrix Thu Dec 19 20:31:18 2013 memory use: 601.8 MB Thu Dec 19 20:31:19 2013 read 1592185 cycles Thu Dec 19 20:31:20 2013 matrix is 1592008 x 1592185 (454.6 MB) with weight 141922466 (89.14/col) Thu Dec 19 20:31:20 2013 sparse part has weight 108037753 (67.86/col) Thu Dec 19 20:31:37 2013 filtering completed in 2 passes Thu Dec 19 20:31:38 2013 matrix is 1590914 x 1591091 (454.6 MB) with weight 141889300 (89.18/col) Thu Dec 19 20:31:38 2013 sparse part has weight 108028641 (67.90/col) Thu Dec 19 20:31:43 2013 matrix starts at (0, 0) Thu Dec 19 20:31:43 2013 matrix is 1590914 x 1591091 (454.6 MB) with weight 141889300 (89.18/col) Thu Dec 19 20:31:43 2013 sparse part has weight 108028641 (67.90/col) Thu Dec 19 20:31:43 2013 saving the first 48 matrix rows for later Thu Dec 19 20:31:44 2013 matrix includes 64 packed rows Thu Dec 19 20:31:44 2013 matrix is 1590866 x 1591091 (430.8 MB) with weight 112972031 (71.00/col) Thu Dec 19 20:31:44 2013 sparse part has weight 103383162 (64.98/col) Thu Dec 19 20:31:44 2013 using block size 65536 for processor cache size 12288 kB Thu Dec 19 20:31:53 2013 commencing Lanczos iteration (4 threads) Thu Dec 19 20:31:53 2013 memory use: 397.3 MB Thu Dec 19 20:32:06 2013 linear algebra at 0.1%, ETA 3h29m Thu Dec 19 20:32:10 2013 checkpointing every 460000 dimensions Fri Dec 20 00:26:38 2013 lanczos halted after 25156 iterations (dim = 1590863) Fri Dec 20 00:26:43 2013 recovered 37 nontrivial dependencies Fri Dec 20 00:26:43 2013 BLanczosTime: 14404 Fri Dec 20 00:26:43 2013 elapsed time 04:00:06 Fri Dec 20 00:26:43 2013 -> Running square root step ... <...snipped...> Fri Dec 20 00:26:45 2013 commencing square root phase Fri Dec 20 00:26:45 2013 reading relations for dependency 1 Fri Dec 20 00:26:46 2013 read 794605 cycles Fri Dec 20 00:26:48 2013 cycles contain 2717244 unique relations Fri Dec 20 00:28:59 2013 read 2717244 relations Fri Dec 20 00:29:15 2013 multiplying 2717244 relations Fri Dec 20 00:32:51 2013 multiply complete, coefficients have about 69.18 million bits Fri Dec 20 00:32:51 2013 initial square root is modulo 92381 Fri Dec 20 00:37:17 2013 GCD is N, no factor found Fri Dec 20 00:37:17 2013 reading relations for dependency 2 Fri Dec 20 00:37:17 2013 read 796362 cycles Fri Dec 20 00:37:19 2013 cycles contain 2719744 unique relations Fri Dec 20 00:39:27 2013 read 2719744 relations Fri Dec 20 00:39:44 2013 multiplying 2719744 relations Fri Dec 20 00:43:12 2013 multiply complete, coefficients have about 69.24 million bits Fri Dec 20 00:43:12 2013 initial square root is modulo 93481 Fri Dec 20 00:47:36 2013 GCD is N, no factor found Fri Dec 20 00:47:36 2013 reading relations for dependency 3 Fri Dec 20 00:47:37 2013 read 796125 cycles Fri Dec 20 00:47:39 2013 cycles contain 2717568 unique relations Fri Dec 20 00:49:35 2013 read 2717568 relations Fri Dec 20 00:49:51 2013 multiplying 2717568 relations Fri Dec 20 00:53:24 2013 multiply complete, coefficients have about 69.19 million bits Fri Dec 20 00:53:24 2013 initial square root is modulo 92551 Fri Dec 20 00:57:51 2013 sqrtTime: 1866 Fri Dec 20 00:57:51 2013 prp59 factor: 25744339498794244614792434529796544380625347255625775543547 Fri Dec 20 00:57:51 2013 prp89 factor: 30664978879630357682946763894807689607891730850105143946828167404348392355269974240979947 Fri Dec 20 00:57:51 2013 elapsed time 00:31:08 Fri Dec 20 00:57:51 2013 -> Computing 1.3875e+09 scale for this machine... Fri Dec 20 00:57:51 2013 -> procrels -speedtest> PIPE Fri Dec 20 00:57:55 2013 -> Factorization summary written to s185-50009_183.txt Number: 50009_183 N = 789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009 (147 digits) SNFS difficulty: 185 digits. Divisors found: r1=25744339498794244614792434529796544380625347255625775543547 (pp59) r2=30664978879630357682946763894807689607891730850105143946828167404348392355269974240979947 (pp89) Version: Msieve v. 1.51 (SVN 845) Total time: 62.23 hours. Factorization parameters were as follows: n: 789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009 m: 5000000000000000000000000000000000000 deg: 5 c5: 8 c0: 45 skew: 1.41 # Murphy_E = 8.956e-11 type: snfs lss: 1 rlim: 8300000 alim: 8300000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 q0: 3500000 Factor base limits: 8300000/8300000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [3500000, 8900001) Total raw relations: 20600536 Relations: 2717568 relations Pruned matrix : 1590866 x 1591091 Polynomial selection time: 0.00 hours. Total sieving time: 57.52 hours. Total relation processing time: 0.19 hours. Matrix solve time: 4.00 hours. time per square root: 0.52 hours. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000 total time: 62.23 hours. Intel64 Family 6 Model 44 Stepping 2, GenuineIntel Windows-7-6.1.7601-SP1 processors: 2, speed: 2.79GHz``` `GGNFS (SVN 440), msieve 1.51 (SVN 845)` `Windows 7 Pro 64bits, Intel Xeon X5660 @ 2.8 GHz, 4GB RAM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 1, 2011 14:57:29 UTC 2011 年 4 月 1 日 (金) 23 時 57 分 29 秒 (日本時間)
2048Youcef LemsaferJune 24, 2013 06:38:54 UTC 2013 年 6 月 24 日 (月) 15 時 38 分 54 秒 (日本時間)
4511e64095Youcef LemsaferJune 24, 2013 06:38:54 UTC 2013 年 6 月 24 日 (月) 15 時 38 分 54 秒 (日本時間)

## 5×10184+9

### c163

name 名前 Dmitry Domanov January 5, 2014 19:48:47 UTC 2014 年 1 月 6 日 (月) 4 時 48 分 47 秒 (日本時間) `4166170166151578089103824796145391818737878735222426541362255052705392126209968296478844129435603219160801699866665224707462004806518099180268789950088470503692121<163>` ```3886236073153540472820642619673481647228076494734007<52> 339099975673693507374821943000971427996379494011666747<54> 3161404501141495907846407447233946778908471163893150637149<58>``` ```N=4166170166151578089103824796145391818737878735222426541362255052705392126209968296478844129435603219160801699866665224707462004806518099180268789950088470503692121 ( 163 digits) SNFS difficulty: 184 digits. Divisors found: r1=3886236073153540472820642619673481647228076494734007 (pp52) r2=339099975673693507374821943000971427996379494011666747 (pp54) r3=3161404501141495907846407447233946778908471163893150637149 (pp58) Version: Msieve v. 1.50 (SVN unknown) Total time: 125.98 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 4166170166151578089103824796145391818737878735222426541362255052705392126209968296478844129435603219160801699866665224707462004806518099180268789950088470503692121 m: 5000000000000000000000000000000000000 deg: 5 c5: 16 c0: 9 skew: 0.89 # Murphy_E = 9.007e-11 type: snfs lss: 1 rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4200000, 10200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1510117 x 1510345 Total sieving time: 122.81 hours. Total relation processing time: 0.24 hours. Matrix solve time: 2.15 hours. Time per square root: 0.77 hours. Prototype def-par.txt line would be: snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000 total time: 125.98 hours. --------- CPU info (if available) ---------- [ 0.074309] CPU0: Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 [ 0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init) [ 0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000) [ 0.707507] Total of 16 processors activated (76799.07 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 1, 2011 14:57:39 UTC 2011 年 4 月 1 日 (金) 23 時 57 分 39 秒 (日本時間)
2048Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)
4511e64096Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)
5043e61024 / 6487Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)
5511e724 / 17129Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)

## 5×10185+9

### c186

name 名前 Jo Yeong Uk December 18, 2007 10:17:08 UTC 2007 年 12 月 18 日 (火) 19 時 17 分 8 秒 (日本時間) `500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<186>` `862676558302067280404855791214660371447819<42>` `579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011<144>` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (186 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=793546000 Step 1 took 29941ms Step 2 took 12373ms ********** Factor found in step 2: 862676558302067280404855791214660371447819 Found probable prime factor of 42 digits: 862676558302067280404855791214660371447819 Composite cofactor 579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011 has 144 digits``` `Core 2 Quad Q6600`

### c144

name 名前 Youcef Lemsafer January 11, 2014 23:17:06 UTC 2014 年 1 月 12 日 (日) 8 時 17 分 6 秒 (日本時間) `579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011<144>` ```94925236934868034108855999202179955670331840852817073137<56> 6105768267782436484302791549973847288934435254969344035362231643572525042596866178941803<88>``` ``` < 122.72 core.hours on Intel Xeon W3530 @ 2.8 GHz> Sat Jan 11 20:34:59 2014 Msieve v. 1.51 (SVN Official Release) Sat Jan 11 20:34:59 2014 random seeds: fb2c5a18 c43cfe34 Sat Jan 11 20:34:59 2014 factoring 579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011 (144 digits) Sat Jan 11 20:34:59 2014 searching for 15-digit factors Sat Jan 11 20:35:00 2014 commencing number field sieve (144-digit input) Sat Jan 11 20:35:00 2014 R0: -10000000000000000000000000000000000000 Sat Jan 11 20:35:00 2014 R1: 1 Sat Jan 11 20:35:00 2014 A0: 9 Sat Jan 11 20:35:00 2014 A1: 0 Sat Jan 11 20:35:00 2014 A2: 0 Sat Jan 11 20:35:00 2014 A3: 0 Sat Jan 11 20:35:00 2014 A4: 0 Sat Jan 11 20:35:00 2014 A5: 5 Sat Jan 11 20:35:00 2014 skew 1.12, size 8.508e-013, alpha 0.705, combined = 7.253e-011 rroots = 1 Sat Jan 11 20:35:00 2014 Sat Jan 11 20:35:00 2014 commencing relation filtering Sat Jan 11 20:35:00 2014 estimated available RAM is 8189.6 MB Sat Jan 11 20:35:00 2014 commencing duplicate removal, pass 1 Sat Jan 11 20:36:19 2014 found 2445833 hash collisions in 19927378 relations Sat Jan 11 20:36:57 2014 added 712438 free relations Sat Jan 11 20:36:57 2014 commencing duplicate removal, pass 2 Sat Jan 11 20:37:06 2014 found 2080888 duplicates and 18558928 unique relations Sat Jan 11 20:37:06 2014 memory use: 98.6 MB Sat Jan 11 20:37:06 2014 reading ideals above 720000 Sat Jan 11 20:37:06 2014 commencing singleton removal, initial pass Sat Jan 11 20:39:11 2014 memory use: 689.0 MB Sat Jan 11 20:39:11 2014 reading all ideals from disk Sat Jan 11 20:39:12 2014 memory use: 580.1 MB Sat Jan 11 20:39:13 2014 keeping 20929462 ideals with weight <= 200, target excess is 115920 Sat Jan 11 20:39:14 2014 commencing in-memory singleton removal Sat Jan 11 20:39:16 2014 begin with 18558928 relations and 20929462 unique ideals Sat Jan 11 20:39:29 2014 reduce to 6877285 relations and 6706025 ideals in 21 passes Sat Jan 11 20:39:29 2014 max relations containing the same ideal: 97 Sat Jan 11 20:39:32 2014 removing 311650 relations and 293254 ideals in 18396 cliques Sat Jan 11 20:39:32 2014 commencing in-memory singleton removal Sat Jan 11 20:39:33 2014 begin with 6565635 relations and 6706025 unique ideals Sat Jan 11 20:39:38 2014 reduce to 6551782 relations and 6398858 ideals in 11 passes Sat Jan 11 20:39:38 2014 max relations containing the same ideal: 95 Sat Jan 11 20:39:41 2014 removing 224045 relations and 205649 ideals in 18396 cliques Sat Jan 11 20:39:41 2014 commencing in-memory singleton removal Sat Jan 11 20:39:41 2014 begin with 6327737 relations and 6398858 unique ideals Sat Jan 11 20:39:44 2014 reduce to 6320601 relations and 6186041 ideals in 7 passes Sat Jan 11 20:39:44 2014 max relations containing the same ideal: 91 Sat Jan 11 20:39:46 2014 relations with 0 large ideals: 2856 Sat Jan 11 20:39:46 2014 relations with 1 large ideals: 1114 Sat Jan 11 20:39:46 2014 relations with 2 large ideals: 19366 Sat Jan 11 20:39:46 2014 relations with 3 large ideals: 145405 Sat Jan 11 20:39:46 2014 relations with 4 large ideals: 588906 Sat Jan 11 20:39:46 2014 relations with 5 large ideals: 1363771 Sat Jan 11 20:39:46 2014 relations with 6 large ideals: 1913298 Sat Jan 11 20:39:46 2014 relations with 7+ large ideals: 2285885 Sat Jan 11 20:39:46 2014 commencing 2-way merge Sat Jan 11 20:39:50 2014 reduce to 3573155 relation sets and 3438600 unique ideals Sat Jan 11 20:39:50 2014 ignored 5 oversize relation sets Sat Jan 11 20:39:50 2014 commencing full merge Sat Jan 11 20:40:42 2014 memory use: 399.7 MB Sat Jan 11 20:40:46 2014 found 1793965 cycles, need 1782800 Sat Jan 11 20:40:46 2014 weight of 1782800 cycles is about 125109982 (70.18/cycle) Sat Jan 11 20:40:46 2014 distribution of cycle lengths: Sat Jan 11 20:40:46 2014 1 relations: 256721 Sat Jan 11 20:40:46 2014 2 relations: 226179 Sat Jan 11 20:40:46 2014 3 relations: 215921 Sat Jan 11 20:40:46 2014 4 relations: 186899 Sat Jan 11 20:40:46 2014 5 relations: 159118 Sat Jan 11 20:40:46 2014 6 relations: 132324 Sat Jan 11 20:40:46 2014 7 relations: 111202 Sat Jan 11 20:40:46 2014 8 relations: 91174 Sat Jan 11 20:40:46 2014 9 relations: 73717 Sat Jan 11 20:40:46 2014 10+ relations: 329545 Sat Jan 11 20:40:46 2014 heaviest cycle: 28 relations Sat Jan 11 20:40:46 2014 commencing cycle optimization Sat Jan 11 20:40:48 2014 start with 10461010 relations Sat Jan 11 20:41:04 2014 pruned 199562 relations Sat Jan 11 20:41:04 2014 memory use: 358.4 MB Sat Jan 11 20:41:04 2014 distribution of cycle lengths: Sat Jan 11 20:41:04 2014 1 relations: 256721 Sat Jan 11 20:41:04 2014 2 relations: 230733 Sat Jan 11 20:41:04 2014 3 relations: 222037 Sat Jan 11 20:41:04 2014 4 relations: 190085 Sat Jan 11 20:41:04 2014 5 relations: 161414 Sat Jan 11 20:41:04 2014 6 relations: 133094 Sat Jan 11 20:41:04 2014 7 relations: 110807 Sat Jan 11 20:41:04 2014 8 relations: 90224 Sat Jan 11 20:41:04 2014 9 relations: 72317 Sat Jan 11 20:41:04 2014 10+ relations: 315368 Sat Jan 11 20:41:04 2014 heaviest cycle: 28 relations Sat Jan 11 20:41:06 2014 RelProcTime: 366 Sat Jan 11 20:41:06 2014 elapsed time 00:06:07 <...snipped...> Sat Jan 11 20:41:26 2014 commencing linear algebra Sat Jan 11 20:41:26 2014 read 1782800 cycles Sat Jan 11 20:41:29 2014 cycles contain 6131735 unique relations Sat Jan 11 20:41:59 2014 read 6131735 relations Sat Jan 11 20:42:06 2014 using 20 quadratic characters above 268435292 Sat Jan 11 20:42:36 2014 building initial matrix Sat Jan 11 20:43:33 2014 memory use: 740.3 MB Sat Jan 11 20:43:34 2014 read 1782800 cycles Sat Jan 11 20:43:35 2014 matrix is 1782620 x 1782800 (537.1 MB) with weight 157988765 (88.62/col) Sat Jan 11 20:43:35 2014 sparse part has weight 121177855 (67.97/col) Sat Jan 11 20:43:51 2014 filtering completed in 2 passes Sat Jan 11 20:43:52 2014 matrix is 1778965 x 1779144 (536.7 MB) with weight 157863171 (88.73/col) Sat Jan 11 20:43:52 2014 sparse part has weight 121132741 (68.08/col) Sat Jan 11 20:43:55 2014 matrix starts at (0, 0) Sat Jan 11 20:43:56 2014 matrix is 1778965 x 1779144 (536.7 MB) with weight 157863171 (88.73/col) Sat Jan 11 20:43:56 2014 sparse part has weight 121132741 (68.08/col) Sat Jan 11 20:43:56 2014 saving the first 48 matrix rows for later Sat Jan 11 20:43:56 2014 matrix includes 64 packed rows Sat Jan 11 20:43:56 2014 matrix is 1778917 x 1779144 (510.0 MB) with weight 126231230 (70.95/col) Sat Jan 11 20:43:56 2014 sparse part has weight 115897895 (65.14/col) Sat Jan 11 20:43:56 2014 using block size 65536 for processor cache size 8192 kB Sat Jan 11 20:44:04 2014 commencing Lanczos iteration (8 threads) Sat Jan 11 20:44:04 2014 memory use: 501.1 MB Sat Jan 11 20:44:14 2014 linear algebra at 0.1%, ETA 3h15m Sat Jan 11 20:44:18 2014 checkpointing every 530000 dimensions Sun Jan 12 00:01:39 2014 lanczos halted after 28134 iterations (dim = 1778916) Sun Jan 12 00:01:41 2014 recovered 37 nontrivial dependencies Sun Jan 12 00:01:41 2014 BLanczosTime: 12015 Sun Jan 12 00:01:41 2014 Sun Jan 12 00:01:41 2014 commencing square root phase Sun Jan 12 00:01:41 2014 reading relations for dependency 1 Sun Jan 12 00:01:42 2014 read 889576 cycles Sun Jan 12 00:01:43 2014 cycles contain 3068632 unique relations Sun Jan 12 00:02:03 2014 read 3068632 relations Sun Jan 12 00:02:17 2014 multiplying 3068632 relations Sun Jan 12 00:03:55 2014 multiply complete, coefficients have about 75.84 million bits Sun Jan 12 00:03:56 2014 initial square root is modulo 278041 Sun Jan 12 00:06:04 2014 sqrtTime: 263 Sun Jan 12 00:06:04 2014 prp56 factor: 94925236934868034108855999202179955670331840852817073137 Sun Jan 12 00:06:04 2014 prp88 factor: 6105768267782436484302791549973847288934435254969344035362231643572525042596866178941803 Sun Jan 12 00:06:04 2014 elapsed time 03:24:40``` `GGNFS (SVN 440), msieve 1.51` `Windows 7 Pro 64-bit, Intel Xeon W3530 @ 2.8 GHz, 8 GB RAM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 1, 2011 14:57:52 UTC 2011 年 4 月 1 日 (金) 23 時 57 分 52 秒 (日本時間)
2048Youcef LemsaferJune 24, 2013 06:44:51 UTC 2013 年 6 月 24 日 (月) 15 時 44 分 51 秒 (日本時間)
4511e64226Youcef LemsaferJune 24, 2013 06:44:51 UTC 2013 年 6 月 24 日 (月) 15 時 44 分 51 秒 (日本時間)
5043e60 / 5899--
5511e7256 / 17486Youcef LemsaferJune 24, 2013 06:44:51 UTC 2013 年 6 月 24 日 (月) 15 時 44 分 51 秒 (日本時間)

## 5×10188+9

### c156

name 名前 Serge Batalov December 9, 2008 20:24:51 UTC 2008 年 12 月 10 日 (水) 5 時 24 分 51 秒 (日本時間) `129845191370461462826201404851976379398850559208657822132316476585791511138745367860957017894444243743793673442780936904029274749891797522295027809884309747<156>` `17069365974029360492115172688628301<35>` `7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647<121>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3476476497 Step 1 took 4752ms Step 2 took 3258ms ********** Factor found in step 2: 17069365974029360492115172688628301 Found probable prime factor of 35 digits: 17069365974029360492115172688628301 Composite cofactor has 121 digits``` `GMP-ECM 6.2.1`

### c121

name 名前 Sinkiti Sibata April 21, 2009 22:07:27 UTC 2009 年 4 月 22 日 (水) 7 時 7 分 27 秒 (日本時間) `7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647<121>` ```112851366896191612350337923343819108022586261622918801<54> 67406481306382958257320834957187828313474877802170323638967682116047<68>``` ```Number: 50009_188 N=7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647 ( 121 digits) Divisors found: r1=112851366896191612350337923343819108022586261622918801 (pp54) r2=67406481306382958257320834957187828313474877802170323638967682116047 (pp68) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 140.12 hours. Scaled time: 62.64 units (timescale=0.447). Factorization parameters were as follows: name: 50009_188 n: 7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647 skew: 109016.74 # norm 2.11e+16 c5: 5700 c4: 4393438342 c3: -159644453182350 c2: -66523826013641583182 c1: -1678125279183183409996345 c0: 13790779317453160370267289525 # alpha -5.21 Y1: 9695498203633 Y0: -266111893921478002019566 # Murphy_E 2.41e-10 # M 5755240981910880162683132603904024483240966666901395640250549525151778137375628477746712617517491336934374610157755148949 type: gnfs rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2500000, 5380001) Primes: RFBsize:348513, AFBsize:347346, largePrimes:7784026 encountered Relations: rels:7980316, finalFF:810325 Max relations in full relation-set: 28 Initial matrix: 695939 x 810325 with sparse part having weight 73710325. Pruned matrix : 602700 x 606243 with weight 51408708. Total sieving time: 117.79 hours. Total relation processing time: 1.23 hours. Matrix solve time: 20.51 hours. Time per square root: 0.59 hours. Prototype def-par.txt line would be: gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000 total time: 140.12 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovJanuary 19, 2009 03:22:03 UTC 2009 年 1 月 19 日 (月) 12 時 22 分 3 秒 (日本時間)

## 5×10190+9

### c141

name 名前 Dmitry Domanov October 1, 2013 09:22:49 UTC 2013 年 10 月 1 日 (火) 18 時 22 分 49 秒 (日本時間) `137302798927080342436220861241014956566382423271124838691612615053136766003607715266773062070364689777585054568587012001241148342088549962547<141>` ```20003741217730647692519940126886007237575003<44> 6863855987367989449493849870476582843763507637047722564990549147458679178178484364190845574595849<97>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3851361271 Step 1 took 70466ms Step 2 took 24704ms ********** Factor found in step 2: 20003741217730647692519940126886007237575003 Found probable prime factor of 44 digits: 20003741217730647692519940126886007237575003```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:02 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 2 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:05:31 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 31 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 30, 2013 12:05:31 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 31 秒 (日本時間)

## 5×10192+9

### c192

name 名前 Robert Backstrom August 11, 2008 06:37:02 UTC 2008 年 8 月 11 日 (月) 15 時 37 分 2 秒 (日本時間) `714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287<192>` ```185946012230334004175737692114361<33> 3841360756911088155477151257427655759049773811262830812715564417935995018641284052166995975037217217287976245074877594743197862509898796882391887621294514456167<160>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287 (192 digits) Using B1=714000, B2=696728352, polynomial Dickson(3), sigma=3139830089 Step 1 took 11875ms Step 2 took 5219ms ********** Factor found in step 2: 185946012230334004175737692114361 Found probable prime factor of 33 digits: 185946012230334004175737692114361 Probable prime cofactor 3841360756911088155477151257427655759049773811262830812715564417935995018641284052166995975037217217287976245074877594743197862509898796882391887621294514456167 has 160 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

## 5×10193+9

### c166

name 名前 Eric Jeancolas June 3, 2021 06:44:57 UTC 2021 年 6 月 3 日 (木) 15 時 44 分 57 秒 (日本時間) `2610700813586231994597685342467236251884810695775351952392428887284025260539427325474746413174543122207566073197519258877763329650210891806918425495935009620481718379<166>` ```10566249974267494095069790075369099914927534602528915402084898278439566050076177<80> 247079221099652148163259544404264914887751019425765411025361783322973436102989885360827<87>``` ```2610700813586231994597685342467236251884810695775351952392428887284025260539427325474746413174543122207566073197519258877763329650210891806918425495935009620481718379=10566249974267494095069790075369099914927534602528915402084898278439566050076177*247079221099652148163259544404264914887751019425765411025361783322973436102989885360827 cado polynomial n: 2610700813586231994597685342467236251884810695775351952392428887284025260539427325474746413174543122207566073197519258877763329650210891806918425495935009620481718379 skew: 0.75 type: snfs c0: 9 c6: 50 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 50*x^6+9 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11800000 tasks.lim1 = 11800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 10566249974267494095069790075369099914927534602528915402084898278439566050076177 247079221099652148163259544404264914887751019425765411025361783322973436102989885360827 Info:Square Root: Total cpu/real time for sqrt: 1213.29/157.482 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 208.38/180.744 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 179.50000000000003s Info:Linear Algebra: Total cpu/real time for bwc: 122276/22235.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 78955.89, WCT time 14355.02, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (76288 iterations) Info:Linear Algebra: Lingen CPU time 1126.56, WCT time 98.23 Info:Linear Algebra: Mksol: CPU time 41422.85, WCT time 7594.09, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (38400 iterations) Info:Filtering - Merging: Merged matrix has 2433178 rows and total weight 416980473 (171.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 799.59/150.877 Info:Filtering - Merging: Total cpu/real time for replay: 95.43/73.6278 Info:Quadratic Characters: Total cpu/real time for characters: 91.29/21.9594 Info:Generate Factor Base: Total cpu/real time for makefb: 9.57/1.50553 Info:Square Root: Total cpu/real time for sqrt: 1213.29/157.482 Info:Filtering - Singleton removal: Total cpu/real time for purge: 676.91/738.419 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 895.81/795.807 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 629.2s Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28116153 Info:Lattice Sieving: Average J: 1893.59 for 3433017 special-q, max bucket fill -bkmult 1.0,1s:1.150130 Info:Lattice Sieving: Total time: 965427s Info:Generate Free Relations: Total cpu/real time for freerel: 214.56/19.8004 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.96745e+06/238711 Info:root: Cleaning up computation data in /tmp/cado.lq_qh2rt 10566249974267494095069790075369099914927534602528915402084898278439566050076177 247079221099652148163259544404264914887751019425765411025361783322973436102989885360827``` `cado-nfs-3.0.0` ```2 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:10 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 10 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:05:47 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 47 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 30, 2013 12:05:47 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 47 秒 (日本時間)

## 5×10194+9

### c195

name 名前 Jo Yeong Uk September 5, 2008 23:18:57 UTC 2008 年 9 月 6 日 (土) 8 時 18 分 57 秒 (日本時間) `500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<195>` ```3403248951366474932718274863522798490198007146565255920384348350563174584990964183684189<88> 146918432105661751654501039168244531252281316834293602197361365522821831096719447512829008767795879133716381<108>``` ```Number: 50009_194 N=500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 ( 195 digits) SNFS difficulty: 195 digits. Divisors found: r1=3403248951366474932718274863522798490198007146565255920384348350563174584990964183684189 (pp88) r2=146918432105661751654501039168244531252281316834293602197361365522821831096719447512829008767795879133716381 (pp108) Version: GGNFS-0.77.1-20050930-nocona Total time: 482.37 hours. Scaled time: 1149.02 units (timescale=2.382). Factorization parameters were as follows: n: 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 m: 1000000000000000000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 53/53 Sieved algebraic special-q in [10000000, 17700001) Primes: RFBsize:1270607, AFBsize:1269885, largePrimes:23603955 encountered Relations: rels:24083724, finalFF:2909883 Max relations in full relation-set: 28 Initial matrix: 2540559 x 2909883 with sparse part having weight 199159428. Pruned matrix : 2192610 x 2205376 with weight 135726398. Total sieving time: 435.38 hours. Total relation processing time: 0.62 hours. Matrix solve time: 46.13 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,53,53,2.6,2.6,100000 total time: 482.37 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init) Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345) Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)``` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 08:01:11 UTC 2008 年 7 月 24 日 (木) 17 時 1 分 11 秒 (日本時間)
403e62350Jo Yeong UkJuly 24, 2008 08:01:14 UTC 2008 年 7 月 24 日 (木) 17 時 1 分 14 秒 (日本時間)
4511e63290 / 3918Jo Yeong UkJuly 24, 2008 08:01:26 UTC 2008 年 7 月 24 日 (木) 17 時 1 分 26 秒 (日本時間)

## 5×10197+9

### c176

name 名前 Bob Backstrom March 5, 2021 15:01:44 UTC 2021 年 3 月 6 日 (土) 0 時 1 分 44 秒 (日本時間) `88018599829249203203091362217039570610309712835983148905422965435791351798202024325109417643392328808090840441954837515327898778791654765420802270488669737048221026083896659921<176>` ```15132872506751721282578389961619233045097603771950258923<56> 5816384152445518756163000955623460746071988969542792807042253379383195637156502629649126211774362707864361699145782303027<121>``` ```Number: n N=88018599829249203203091362217039570610309712835983148905422965435791351798202024325109417643392328808090840441954837515327898778791654765420802270488669737048221026083896659921 ( 176 digits) SNFS difficulty: 197 digits. Divisors found: Sat Mar 6 01:56:54 2021 p56 factor: 15132872506751721282578389961619233045097603771950258923 Sat Mar 6 01:56:54 2021 p121 factor: 5816384152445518756163000955623460746071988969542792807042253379383195637156502629649126211774362707864361699145782303027 Sat Mar 6 01:56:54 2021 elapsed time 01:12:28 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.325). Factorization parameters were as follows: # # N = 5x10^197+9 = 50(196)9 # n: 88018599829249203203091362217039570610309712835983148905422965435791351798202024325109417643392328808090840441954837515327898778791654765420802270488669737048221026083896659921 m: 1000000000000000000000000000000000000000 deg: 5 c5: 500 c0: 9 skew: 0.45 # Murphy_E = 1.84e-11 type: snfs lss: 1 rlim: 13800000 alim: 13800000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13800000/13800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4596012 hash collisions in 31762705 relations (28774195 unique) Msieve: matrix is 1731421 x 1731646 (600.5 MB) Sieving start time : 2021/03/05 17:12:08 Sieving end time : 2021/03/06 00:43:51 Total sieving time: 7hrs 31min 43secs. Total relation processing time: 0hrs 57min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 14sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.154161] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400) [ 0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:26 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 26 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:06:00 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 0 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovOctober 2, 2013 13:35:07 UTC 2013 年 10 月 2 日 (水) 22 時 35 分 7 秒 (日本時間)

## 5×10198+9

### c184

name 名前 matsui November 2, 2011 03:20:04 UTC 2011 年 11 月 2 日 (水) 12 時 20 分 4 秒 (日本時間) `5628448932100971555318672742149221060008306242229485968678467934484871657194249284872503773428570735425193648735486276569262735984732208982806784098669504870999875877424433782255468029<184>` ```19830372094019801185891000999795485858256410322908528341<56> 283829718646496285471987722779291877731636827042472861184391207320774345369455359203441141434328311313622049776976909693527762569<129>``` ```N=5628448932100971555318672742149221060008306242229485968678467934484871657194249284872503773428570735425193648735486276569262735984732208982806784098669504870999875877424433782255468029 ( 184 digits) SNFS difficulty: 198 digits. Divisors found: r1=19830372094019801185891000999795485858256410322908528341 (pp56) r2=283829718646496285471987722779291877731636827042472861184391207320774345369455359203441141434328311313622049776976909693527762569 (pp129) Version: Msieve v. 1.50 Total time: Scaled time: 11.35 units (timescale=0.702). Factorization parameters were as follows: n: 5628448932100971555318672742149221060008306242229485968678467934484871657194249284872503773428570735425193648735486276569262735984732208982806784098669504870999875877424433782255468029 m: 1000000000000000000000000000000000000000 deg: 5 c5: 5000 c0: 9 skew: 0.28 type: snfs lss: 1 rlim: 14300000 alim: 14300000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 qintsize: 160000 Factor base limits: 14300000/14300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [7150000, 15150001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2500296 x 2500519 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,198.000,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 1, 2011 14:58:35 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 35 秒 (日本時間)

## 5×10199+9

### c197

name 名前 Serge Batalov October 21, 2008 16:48:00 UTC 2008 年 10 月 22 日 (水) 1 時 48 分 0 秒 (日本時間) `18044027426921688920967159870083002526163839769036448935402381811620353662937567665102850956333453626849512811259473114399133886683507758931793576326236015878744135691086250451100685673042223024179<197>` `1593430546178302621526623328857130497<37>` `11324012502583584716566772960189801921788975775190511695521026198515623091804565348455568883549293387605458234997823194604094623522025069708549012210465528813107<161>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1420271003 Step 1 took 29385ms Step 2 took 17514ms ********** Factor found in step 2: 1593430546178302621526623328857130497 Found probable prime factor of 37 digits: 1593430546178302621526623328857130497 Composite cofactor 11324012502583584716566772960189801921788975775190511695521026198515623091804565348455568883549293387605458234997823194604094623522025069708549012210465528813107 has 161 digits``` `GMP-ECM 6.2.1`

### c161

name 名前 Dmitry Domanov April 1, 2011 12:42:58 UTC 2011 年 4 月 1 日 (金) 21 時 42 分 58 秒 (日本時間) `11324012502583584716566772960189801921788975775190511695521026198515623091804565348455568883549293387605458234997823194604094623522025069708549012210465528813107<161>` `142242657902914511616833205346375249<36>` `79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643<125>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1408040392 Step 1 took 29861ms Step 2 took 11226ms ********** Factor found in step 2: 142242657902914511616833205346375249 Found probable prime factor of 36 digits: 142242657902914511616833205346375249 Composite cofactor 79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643 has 125 digits```

### c125

name 名前 Warut Roonguthai September 8, 2011 12:06:44 UTC 2011 年 9 月 8 日 (木) 21 時 6 分 44 秒 (日本時間) `79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643<125>` ```20936594747368515028837001436919629905448834930134580307<56> 3802458076980807630036456909859549691699291795614775513212139001856849<70>``` ```N = 79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643 (125 digits) Divisors found: r1=20936594747368515028837001436919629905448834930134580307 (pp56) r2=3802458076980807630036456909859549691699291795614775513212139001856849 (pp70) Version: Msieve v. 1.48 Total time: 27.42 hours. Factorization parameters were as follows: n: 79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643 Y0: -1724486070142182267009250 Y1: 34950816188447 c0: 101803071894948921685564780449 c1: 6126120463143289416634208 c2: -16441289893362530957 c3: -938352779802642 c4: 904579194 c5: 5220 skew: 167973.60 type: gnfs Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 11594484 Relations: 1649992 relations Pruned matrix : 975556 x 975790 Polynomial selection time: 0.00 hours. Total sieving time: 26.11 hours. Total relation processing time: 0.07 hours. Matrix solve time: 1.18 hours. time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000 total time: 27.42 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 1, 2011 12:42:12 UTC 2011 年 4 月 1 日 (金) 21 時 42 分 12 秒 (日本時間)
2036Adam StinchcombeApril 30, 2011 07:38:41 UTC 2011 年 4 月 30 日 (土) 16 時 38 分 41 秒 (日本時間)
4511e64413Adam StinchcombeMay 2, 2011 14:13:58 UTC 2011 年 5 月 2 日 (月) 23 時 13 分 58 秒 (日本時間)
5043e63604 / 6475Adam StinchcombeMay 7, 2011 22:32:15 UTC 2011 年 5 月 8 日 (日) 7 時 32 分 15 秒 (日本時間)

## 5×10200+9

### c148

name 名前 Eric Jeancolas October 8, 2020 03:08:40 UTC 2020 年 10 月 8 日 (木) 12 時 8 分 40 秒 (日本時間) `1067092545200264470989589147188761198366121719458604459961620743379316751380986328374927045113259696266455091298668018562718304833351180930092355047<148>` ```5358372034042244401224760102402502093054953998066612335347<58> 199144915362525145875890808477591760811523002561325355571317517625497968848386910639255101<90>``` ```1067092545200264470989589147188761198366121719458604459961620743379316751380986328374927045113259696266455091298668018562718304833351180930092355047=5358372034042244401224760102402502093054953998066612335347*199144915362525145875890808477591760811523002561325355571317517625497968848386910639255101 cado polynomial n: 1067092545200264470989589147188761198366121719458604459961620743379316751380986328374927045113259696266455091298668018562718304833351180930092355047 skew: 1.12 type: snfs c0: 9 c5: 5 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 5*x^5+9 # g(x) = -x+10000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15500000 tasks.lim1 = 15500000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.lambda0 = 2.6 tasks.sieve.lambda1 = 2.6 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 5358372034042244401224760102402502093054953998066612335347 199144915362525145875890808477591760811523002561325355571317517625497968848386910639255101 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 6.48/2.45896 Info:Generate Free Relations: Total cpu/real time for freerel: 202.97/52.3629 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 45569628 Info:Lattice Sieving: Average J: 1894.46 for 3265498 special-q, max bucket fill -bkmult 1.0,1s:1.098860 Info:Lattice Sieving: Total time: 1.08468e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.29/219.771 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 219.50000000000003s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 673.99/641.05 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 564.9999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 461.82/548.211 Info:Filtering - Merging: Merged matrix has 3192588 rows and total weight 547795436 (171.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 486.71/139.908 Info:Filtering - Merging: Total cpu/real time for replay: 128.56/113.909 Info:Linear Algebra: Total cpu/real time for bwc: 191333/49033.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 31745.41, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations) Info:Linear Algebra: Lingen CPU time 662.65, WCT time 191.37 Info:Linear Algebra: Mksol: WCT time 16717.32, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 118.52/49.2636 Info:Square Root: Total cpu/real time for sqrt: 860.79/275.564 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.08889e+06/593477 Info:root: Cleaning up computation data in /tmp/cado.tjxorh9l 5358372034042244401224760102402502093054953998066612335347 199144915362525145875890808477591760811523002561325355571317517625497968848386910639255101``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:53 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 53 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:06:12 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 12 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 30, 2013 12:06:12 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 12 秒 (日本時間)

## 5×10201+9

### c187

name 名前 Bob Backstrom August 27, 2021 10:24:50 UTC 2021 年 8 月 27 日 (金) 19 時 24 分 50 秒 (日本時間) `2776770683817571927872503280709179491757048345114853331622028427224394004178918745266702937210998035478578437167415524223059574249989922292490586827651924823225813412312034395544454791283<187>` ```249589311173750554522585342466525034412642681310866101036672857317406224956662001032530980553<93> 11125358977750992854920157484892167642201214140876472817834276900307492378869825826430287128411<95>``` ```Number: n N=2776770683817571927872503280709179491757048345114853331622028427224394004178918745266702937210998035478578437167415524223059574249989922292490586827651924823225813412312034395544454791283 ( 187 digits) SNFS difficulty: 201 digits. Divisors found: Fri Aug 27 20:18:12 2021 p93 factor: 249589311173750554522585342466525034412642681310866101036672857317406224956662001032530980553 Fri Aug 27 20:18:12 2021 p95 factor: 11125358977750992854920157484892167642201214140876472817834276900307492378869825826430287128411 Fri Aug 27 20:18:12 2021 elapsed time 01:27:41 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 5x10^201+9 = 50(200)9 # n: 2776770683817571927872503280709179491757048345114853331622028427224394004178918745266702937210998035478578437167415524223059574249989922292490586827651924823225813412312034395544454791283 m: 10000000000000000000000000000000000000000 deg: 5 c5: 50 c0: 9 skew: 0.71 # Murphy_E = 1.424e-11 type: snfs lss: 1 rlim: 16100000 alim: 16100000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16100000/16100000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 28050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9688907 hash collisions in 67811616 relations (60985890 unique) Msieve: matrix is 1877190 x 1877416 (645.5 MB) Sieving start time : 2021/08/27 09:17:37 Sieving end time : 2021/08/27 18:49:28 Total sieving time: 9hrs 31min 51secs. Total relation processing time: 1hrs 8min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 7sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved) [ 0.154077] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404) [ 0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:06:26 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 26 秒 (日本時間)
4511e659801500Dmitry DomanovOctober 2, 2013 13:35:30 UTC 2013 年 10 月 2 日 (水) 22 時 35 分 30 秒 (日本時間)
4480Ignacio SantosAugust 3, 2021 22:11:52 UTC 2021 年 8 月 4 日 (水) 7 時 11 分 52 秒 (日本時間)

## 5×10202+9

### c156

name 名前 Dmitry Domanov September 25, 2013 05:13:42 UTC 2013 年 9 月 25 日 (水) 14 時 13 分 42 秒 (日本時間) `276282917980033475454871065403303337150555390165995903093467502097649569421529155784309071568520939207799834918591754300984139350752192828908067691816887283<156>` ```8992792339968420931044077508242381<34> 30722706311375101753543942602125363376457093956001285665845710765153571516590789635740419517846075416124240811237850762943<122>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2560869766 Step 1 took 19717ms Step 2 took 8008ms ********** Factor found in step 2: 8992792339968420931044077508242381 Found probable prime factor of 34 digits: 8992792339968420931044077508242381```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

## 5×10204+9

### c182

name 名前 Dmitry Domanov September 24, 2013 13:55:39 UTC 2013 年 9 月 24 日 (火) 22 時 55 分 39 秒 (日本時間) `42878235076512455098731218388642907336885011458352941009262069225920079949697688233611990042731839330740410521584798456194043065220245046835530886444026503621545157276246199658736863<182>` `1772640932772688401226894806914507<34>` `24188900461327027663283101456539589837084172711980800724798650376013125117887542121078452106329972620525224120848779283387258724121943480877728350909<149>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3161072209 Step 1 took 22904ms Step 2 took 8940ms ********** Factor found in step 2: 1772640932772688401226894806914507 Found probable prime factor of 34 digits: 1772640932772688401226894806914507```

### c149

name 名前 anonymous April 6, 2021 00:06:06 UTC 2021 年 4 月 6 日 (火) 9 時 6 分 6 秒 (日本時間) `24188900461327027663283101456539589837084172711980800724798650376013125117887542121078452106329972620525224120848779283387258724121943480877728350909<149>` ```80739179077787356661491519832645707181260952089<47> 299593093930549786893271417489451923713846324734095951911825904500593695631161842468313643983434445381<102>``` ```p47: 80739179077787356661491519832645707181260952089 p102: 299593093930549786893271417489451923713846324734095951911825904500593695631161842468313643983434445381``` `factordb, http://factordb.com/index.php?id=1000000000031950228, July 14, 2020`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:06:40 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 40 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 30, 2013 12:06:40 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 40 秒 (日本時間)

## 5×10207+9

### c185

composite cofactor 合成数の残り `16668463736254269915963720662071685715331091030973413111992293100426413027170085932006199421377196689451021321934160547013582137240939442816029503914972239598691872933835230473888349713<185>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:06:53 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 53 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:35:52 UTC 2013 年 10 月 2 日 (水) 22 時 35 分 52 秒 (日本時間)

## 5×10208+9

### c190

name 名前 Bob Backstrom May 14, 2021 19:53:26 UTC 2021 年 5 月 15 日 (土) 4 時 53 分 26 秒 (日本時間) `1320608514704595494380152311462748676366689290790715066078085725515824313125552175877716652615643890718481866032380754197331149070774127004946408829174744867331543148304607762519367877209801<190>` ```1689790129562202404132551122654505394123<40> 781522208942446621209802840079301881672819428324653629046254235771962155494210780974826344506239388203369819908997756302999287332275109950501645545787<150>``` ```# # N = 5x10^208+9 = 50(207)9 # n: 1320608514704595494380152311462748676366689290790715066078085725515824313125552175877716652615643890718481866032380754197331149070774127004946408829174744867331543148304607762519367877209801 m: 500000000000000000000000000000000000000000 deg: 5 c5: 8 c0: 45 skew: 1.41 # Murphy_E = 7.255e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 1320608514704595494380152311462748676366689290790715066078085725515824313125552175877716652615643890718481866032380754197331149070774127004946408829174744867331543148304607762519367877209801 (190 digits) Using B1=37250000, B2=192390318136, polynomial Dickson(12), sigma=1:2703731569 Step 1 took 103663ms Step 2 took 34706ms ********** Factor found in step 2: 1689790129562202404132551122654505394123 Found prime factor of 40 digits: 1689790129562202404132551122654505394123 Prime cofactor 781522208942446621209802840079301881672819428324653629046254235771962155494210780974826344506239388203369819908997756302999287332275109950501645545787 has 150 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:07:07 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 7 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:36:08 UTC 2013 年 10 月 2 日 (水) 22 時 36 分 8 秒 (日本時間)

## 5×10209+9

### c179

name 名前 Dmitry Domanov October 4, 2013 05:34:56 UTC 2013 年 10 月 4 日 (金) 14 時 34 分 56 秒 (日本時間) `10834013310162900541461717990422620707039790890543750723144341547680723419135893577961494795602620062911133358557963874585074786923891593560251005612749966558702455279434641173283<179>` `13013073513265461801175088129982803315617<41>` `832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699<138>` `13013073513265461801175088129982803315617`

### c138

name 名前 Ignacio Santos January 11, 2014 15:48:30 UTC 2014 年 1 月 12 日 (日) 0 時 48 分 30 秒 (日本時間) `832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699<138>` ```411352267397785793917155957421550125795361893928356136291488553<63> 2023930457894564477594282391088512288326592937602387952029130523096890380683<76>``` ```Number: 1 N=832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699 ( 138 digits) Divisors found: r1=411352267397785793917155957421550125795361893928356136291488553 (pp63) r2=2023930457894564477594282391088512288326592937602387952029130523096890380683 (pp76) Version: Msieve v. 1.52 (SVN 927) Total time: 353.01 hours. Scaled time: 1897.76 units (timescale=5.376). Factorization parameters were as follows: # Murphy_E = 2.76e-11, selected by Erik Branger # expecting poly E from 2.75e-011 to > 3.16e-011 n: 832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699 Y0: -629834227961808732240049829 Y1: 170967494706167 c0: -3283282605607212528754698117491520 c1: 10429025615123173551356148824 c2: 66956240369066918944022 c3: -73380272515571629 c4: -78131692522 c5: 8400 skew: 961834.12 type: gnfs # selected mechanically rlim: 16000000 alim: 16000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [8000000, 19600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2413407 x 2413654 Total sieving time: 350.05 hours. Total relation processing time: 0.10 hours. Matrix solve time: 2.73 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16000000,16000000,28,28,55,55,2.6,2.6,100000 total time: 353.01 hours.``` `GGNFS, Msieve` `Windos 8.1 64 bits, i7-3770k`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:07:18 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 18 秒 (日本時間)
4511e63600 / 41431500Dmitry DomanovOctober 2, 2013 13:36:23 UTC 2013 年 10 月 2 日 (水) 22 時 36 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:56 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:03 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:18 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 18 秒 (日本時間)

## 5×10211+9

### c132

name 名前 Serge Batalov November 8, 2013 00:30:38 UTC 2013 年 11 月 8 日 (金) 9 時 30 分 38 秒 (日本時間) `633941947542972288165441234825858101070481227492942144109119003648049279764911769100368082076283846558036794240277631235382771044737<132>` ```5599153481417626512808417989631171381699<40> 38896497396410348527263520484697701139089<41> 2910828525209184299591130075961162507874728952260667<52>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1614689010 Step 1 took 29741ms Step 2 took 13954ms ********** Factor found in step 2: 38896497396410348527263520484697701139089 Found probable prime factor of 41 digits: 38896497396410348527263520484697701139089 Composite cofactor SIQS elapsed time = 213.7488 seconds. ***factors found*** PRP40 = 5599153481417626512808417989631171381699 PRP52 = 2910828525209184299591130075961162507874728952260667```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2013 18:50:10 UTC 2013 年 9 月 24 日 (火) 3 時 50 分 10 秒 (日本時間)
403e61610110Ignacio SantosSeptember 23, 2013 18:50:10 UTC 2013 年 9 月 24 日 (火) 3 時 50 分 10 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:07:33 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 33 秒 (日本時間)
4511e6532 / 410532Ignacio SantosSeptember 23, 2013 18:50:10 UTC 2013 年 9 月 24 日 (火) 3 時 50 分 10 秒 (日本時間)
500Dmitry DomanovSeptember 30, 2013 12:07:33 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 33 秒 (日本時間)

## 5×10212+9

### c185

composite cofactor 合成数の残り `52199914233573587976430216507838072842894985485296191677123911135288717185238295323210007961169185767948097054917311237496836521558558294491280768500566520713436999622670145273033691923<185>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:07:49 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 49 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:36:45 UTC 2013 年 10 月 2 日 (水) 22 時 36 分 45 秒 (日本時間)

## 5×10214+9

### c214

name 名前 Serge Batalov January 5, 2014 17:50:50 UTC 2014 年 1 月 6 日 (月) 2 時 50 分 50 秒 (日本時間) `1162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651163<214>` `168420251186338440781798058218540513422591721<45>` `6904102621174213113030183810927527185340406543599263506005583028589847787467354707028847081092256538899519495518069320912656723089623421166976663545571486518228540556003<169>` ```Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2442028436 Step 1 took 77439ms Step 2 took 37092ms ********** Factor found in step 2: 168420251186338440781798058218540513422591721 Found probable prime factor of 45 digits: 168420251186338440781798058218540513422591721 Composite cofactor```

### c169

name 名前 ebina September 14, 2021 23:57:24 UTC 2021 年 9 月 15 日 (水) 8 時 57 分 24 秒 (日本時間) `6904102621174213113030183810927527185340406543599263506005583028589847787467354707028847081092256538899519495518069320912656723089623421166976663545571486518228540556003<169>` ```2693171527674586675632220760535576679678547790508615461373880254501691165249<76> 2563558447810988884679558295061805643373649956981326748269680967020250170885274587130443635747<94>``` ```Number: 1069 N = 6904102621174213113030183810927527185340406543599263506005583028589847787467354707028847081092256538899519495518069320912656723089623421166976663545571486518228540556003 (169 digits) SNFS difficulty: 215 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 247.20 hours. Factorization parameters were as follows: n: 6904102621174213113030183810927527185340406543599263506005583028589847787467354707028847081092256538899519495518069320912656723089623421166976663545571486518228540556003 m: 5000000000000000000000000000000000000000000 c5: 16 c0: 9 type: snfs  Factor base limits: 26800000/26800000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 46987150 Relations: 6928280 relations Pruned matrix : 4439326 x 4439551 Polynomial selection time: 0.00 hours. Total sieving time: 228.94 hours. Total relation processing time: 0.53 hours. Matrix solve time: 17.57 hours. time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,215,5,0,0,0,0,0,0,0,0,26800000,26800000,29,29,58,58,2.6,2.6,100000 total time: 247.20 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.19GHz Mon Apr 24 02:13:43 2017 Msieve v. 1.53 (SVN unknown) Mon Apr 24 02:13:43 2017 random seeds: a48ee7e0 8d9976e8 Mon Apr 24 02:13:43 2017 factoring 6904102621174213113030183810927527185340406543599263506005583028589847787467354707028847081092256538899519495518069320912656723089623421166976663545571486518228540556003 (169 digits) Mon Apr 24 02:13:44 2017 searching for 15-digit factors Mon Apr 24 02:13:45 2017 commencing number field sieve (169-digit input) Mon Apr 24 02:13:45 2017 R0: -5000000000000000000000000000000000000000000 Mon Apr 24 02:13:45 2017 R1: 1 Mon Apr 24 02:13:45 2017 A0: 9 Mon Apr 24 02:13:45 2017 A1: 0 Mon Apr 24 02:13:45 2017 A2: 0 Mon Apr 24 02:13:45 2017 A3: 0 Mon Apr 24 02:13:45 2017 A4: 0 Mon Apr 24 02:13:45 2017 A5: 16 Mon Apr 24 02:13:45 2017 skew 0.89, size 9.993e-15, alpha 0.217, combined = 4.452e-12 rroots = 1 Mon Apr 24 02:13:45 2017 Mon Apr 24 02:13:45 2017 commencing square root phase Mon Apr 24 02:13:45 2017 reading relations for dependency 1 Mon Apr 24 02:13:45 2017 read 2219072 cycles Mon Apr 24 02:13:48 2017 cycles contain 6928280 unique relations Mon Apr 24 02:15:04 2017 read 6928280 relations Mon Apr 24 02:15:37 2017 multiplying 6928280 relations Mon Apr 24 02:19:00 2017 multiply complete, coefficients have about 194.97 million bits Mon Apr 24 02:19:01 2017 initial square root is modulo 9930961 Mon Apr 24 02:23:32 2017 sqrtTime: 587 Mon Apr 24 02:23:32 2017 p76 factor: 2693171527674586675632220760535576679678547790508615461373880254501691165249 Mon Apr 24 02:23:32 2017 p94 factor: 2563558447810988884679558295061805643373649956981326748269680967020250170885274587130443635747 Mon Apr 24 02:23:32 2017 elapsed time 00:09:49 Mon Apr 24 02:23:32 2017 -> Computing 1.49297e+09 scale for this machine... Mon Apr 24 02:23:32 2017 -> procrels -speedtest> PIPE Mon Apr 24 02:23:34 2017 -> Factorization summary written to s215-1069.txt```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 14:54:08 UTC 2013 年 9 月 25 日 (水) 23 時 54 分 8 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 14:54:08 UTC 2013 年 9 月 25 日 (水) 23 時 54 分 8 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:08:00 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 0 秒 (日本時間)
4511e6882 / 410532Ignacio SantosSeptember 25, 2013 14:54:08 UTC 2013 年 9 月 25 日 (水) 23 時 54 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:24 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 24 秒 (日本時間)

## 5×10215+9

### c178

name 名前 ebina September 14, 2021 23:54:09 UTC 2021 年 9 月 15 日 (水) 8 時 54 分 9 秒 (日本時間) `1451750121488546090284847154279361260836766356989168281101524329493309195810209379936467801442271166632130626941660869565163168077029949781018952935304408641933034500559904363481<178>` ```24386595690217268910275657894280422237698561024039674745397087478639770643588491<80> 59530659380674380992011954754571171546784280651442408597373905775747937128978011365275514483998891<98>``` ```Number: 1120 N = 1451750121488546090284847154279361260836766356989168281101524329493309195810209379936467801442271166632130626941660869565163168077029949781018952935304408641933034500559904363481 (178 digits) SNFS difficulty: 217 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 200.79 hours. Factorization parameters were as follows: n: 1451750121488546090284847154279361260836766356989168281101524329493309195810209379936467801442271166632130626941660869565163168077029949781018952935304408641933034500559904363481 m: 1000000000000000000000000000000000000 c6: 1 c0: 18 type: snfs  Factor base limits: 29000000/29000000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 50236815 Relations: 6490832 relations Pruned matrix : 4430323 x 4430548 Polynomial selection time: 0.00 hours. Total sieving time: 188.78 hours. Total relation processing time: 0.50 hours. Matrix solve time: 11.02 hours. time per square root: 0.49 hours. Prototype def-par.txt line would be: snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000 total time: 200.79 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.19GHz Sun Mar 19 15:42:09 2017 Msieve v. 1.53 (SVN unknown) Sun Mar 19 15:42:09 2017 random seeds: 2d2041a0 78b9801a Sun Mar 19 15:42:09 2017 factoring 1451750121488546090284847154279361260836766356989168281101524329493309195810209379936467801442271166632130626941660869565163168077029949781018952935304408641933034500559904363481 (178 digits) Sun Mar 19 15:42:10 2017 searching for 15-digit factors Sun Mar 19 15:42:10 2017 commencing number field sieve (178-digit input) Sun Mar 19 15:42:10 2017 R0: -1000000000000000000000000000000000000 Sun Mar 19 15:42:10 2017 R1: 1 Sun Mar 19 15:42:10 2017 A0: 18 Sun Mar 19 15:42:10 2017 A1: 0 Sun Mar 19 15:42:10 2017 A2: 0 Sun Mar 19 15:42:10 2017 A3: 0 Sun Mar 19 15:42:10 2017 A4: 0 Sun Mar 19 15:42:10 2017 A5: 0 Sun Mar 19 15:42:10 2017 A6: 1 Sun Mar 19 15:42:10 2017 skew 1.62, size 1.000e-10, alpha 1.318, combined = 3.362e-12 rroots = 0 Sun Mar 19 15:42:10 2017 Sun Mar 19 15:42:10 2017 commencing square root phase Sun Mar 19 15:42:10 2017 reading relations for dependency 1 Sun Mar 19 15:42:11 2017 read 2216215 cycles Sun Mar 19 15:42:14 2017 cycles contain 6495294 unique relations Sun Mar 19 15:43:23 2017 read 6495294 relations Sun Mar 19 15:43:54 2017 multiplying 6495294 relations Sun Mar 19 15:47:38 2017 multiply complete, coefficients have about 158.34 million bits Sun Mar 19 15:47:39 2017 initial square root is modulo 481447 Sun Mar 19 15:51:54 2017 GCD is 1, no factor found Sun Mar 19 15:51:54 2017 reading relations for dependency 2 Sun Mar 19 15:51:55 2017 read 2212907 cycles Sun Mar 19 15:51:58 2017 cycles contain 6487770 unique relations Sun Mar 19 15:53:07 2017 read 6487770 relations Sun Mar 19 15:53:38 2017 multiplying 6487770 relations Sun Mar 19 15:57:22 2017 multiply complete, coefficients have about 158.16 million bits Sun Mar 19 15:57:23 2017 initial square root is modulo 474319 Sun Mar 19 16:01:43 2017 GCD is N, no factor found Sun Mar 19 16:01:43 2017 reading relations for dependency 3 Sun Mar 19 16:01:44 2017 read 2215409 cycles Sun Mar 19 16:01:47 2017 cycles contain 6490832 unique relations Sun Mar 19 16:02:57 2017 read 6490832 relations Sun Mar 19 16:03:29 2017 multiplying 6490832 relations Sun Mar 19 16:07:16 2017 multiply complete, coefficients have about 158.23 million bits Sun Mar 19 16:07:18 2017 initial square root is modulo 477277 Sun Mar 19 16:11:36 2017 sqrtTime: 1766 Sun Mar 19 16:11:36 2017 p80 factor: 24386595690217268910275657894280422237698561024039674745397087478639770643588491 Sun Mar 19 16:11:36 2017 p98 factor: 59530659380674380992011954754571171546784280651442408597373905775747937128978011365275514483998891 Sun Mar 19 16:11:36 2017 elapsed time 00:29:27 Sun Mar 19 16:11:36 2017 -> Computing 1.48991e+09 scale for this machine... Sun Mar 19 16:11:37 2017 -> procrels -speedtest> PIPE Sun Mar 19 16:11:39 2017 -> Factorization summary written to s217-1120.txt```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:08:11 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 11 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:37:00 UTC 2013 年 10 月 2 日 (水) 22 時 37 分 0 秒 (日本時間)

## 5×10216+9

### c201

name 名前 Dmitry Domanov September 24, 2013 14:44:24 UTC 2013 年 9 月 24 日 (火) 23 時 44 分 24 秒 (日本時間) `166366406600677670848085971033958868137935335199640568849046636262113476426819057298514921033796067370165691900813547379897959695473396635521190583193561406163738718241590148492975488750152268882612983<201>` `6744257142990036307027048317689<31>` `24667862312100375656519178658733845619191174768915065172797324952797323238008395077048083675891954731248830534000804146375612888719245122397699815795519759385841844654447<170>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3090680696 Step 1 took 27247ms Step 2 took 9963ms ********** Factor found in step 2: 6744257142990036307027048317689 Found probable prime factor of 31 digits: 6744257142990036307027048317689```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:08:20 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 20 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 26, 2013 13:01:38 UTC 2013 年 11 月 26 日 (火) 22 時 1 分 38 秒 (日本時間)

## 5×10217+9

### c168

name 名前 Dmitry Domanov September 25, 2013 05:10:02 UTC 2013 年 9 月 25 日 (水) 14 時 10 分 2 秒 (日本時間) `843079932047014269316804889195510170347820275491816177984793337826610292778245317309235099527317596522368316738092717402839781035384201602145782037293004513413684789753<168>` ```30783110037091554662225285059769224051<38> 27387743831963705808103849900416533559697719328037564313530626978521599116064472655605250298592505674210744870547781935608712837603<131>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3074912414 Step 1 took 19400ms ********** Factor found in step 1: 30783110037091554662225285059769224051 Found probable prime factor of 38 digits: 30783110037091554662225285059769224051```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

## 5×10219+9

### c161

name 名前 Dmitry Domanov September 24, 2013 15:39:11 UTC 2013 年 9 月 25 日 (水) 0 時 39 分 11 秒 (日本時間) `30661844780149321375114477441381736594519361034159099532489739477551739583021167976004884297644662205244378475128980864321482543446573363317726042638289461555899<161>` `1668427169295803435606847113539<31>` `18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241<131>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2365772274 Step 1 took 19392ms Step 2 took 7914ms ********** Factor found in step 2: 1668427169295803435606847113539 Found probable prime factor of 31 digits: 1668427169295803435606847113539```

### c131

name 名前 Erik Branger November 4, 2013 09:50:30 UTC 2013 年 11 月 4 日 (月) 18 時 50 分 30 秒 (日本時間) `18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241<131>` ```1573481297824070299100953004571139848547526735987929<52> 11679639602856110907466980361487727017344865883274321946960285180846904596203729<80>``` ```Number: 50009_219 N = 18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241 (131 digits) Divisors found: r1=1573481297824070299100953004571139848547526735987929 (pp52) r2=11679639602856110907466980361487727017344865883274321946960285180846904596203729 (pp80) Version: Msieve v. 1.51 (SVN 845) Total time: 54.83 hours. Factorization parameters were as follows: # Murphy_E = 7.677e-11, selected by Dmitry Domanov n: 18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241 Y0: -41800921587651359518723806 Y1: 12226806278851 c0: -15696173792258681614175457152085695 c1: 44323058644880588966751173411 c2: 12377513147716280944443 c3: -8947511504257835 c4: -848775172 c5: 144 skew: 3911417.19 type: gnfs # selected mechanically rlim: 9900000 alim: 9900000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 9900000/9900000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19277881 Relations: 2753358 relations Pruned matrix : 1577203 x 1577434 Polynomial selection time: 0.00 hours. Total sieving time: 52.80 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.67 hours. time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,9900000,9900000,28,28,54,54,2.6,2.6,100000 total time: 54.83 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 15:12:35 UTC 2013 年 9 月 28 日 (土) 0 時 12 分 35 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 15:12:35 UTC 2013 年 9 月 28 日 (土) 0 時 12 分 35 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:08:33 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 33 秒 (日本時間)
4511e6532 / 410532Ignacio SantosSeptember 27, 2013 15:12:35 UTC 2013 年 9 月 28 日 (土) 0 時 12 分 35 秒 (日本時間)
500Dmitry DomanovSeptember 30, 2013 12:08:33 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 33 秒 (日本時間)

## 5×10221+9

### c195

name 名前 Erik Branger September 30, 2021 16:21:28 UTC 2021 年 10 月 1 日 (金) 1 時 21 分 28 秒 (日本時間) `179058029335751466615051578590198060407594619444122680696799048335542391215720163006872994779295810800928579000753541842415920930121481657771106275961519929305048100977744338147849875157580001483<195>` ```6883669699339048624538045703439259602053970326382681775025724502528053949656339<79> 26012001905458092367939019617405072944892194924943508081554133721876404901952325514450717488503649609718588931259497<116>``` ```Number: 50009-221 N = 179058029335751466615051578590198060407594619444122680696799048335542391215720163006872994779295810800928579000753541842415920930121481657771106275961519929305048100977744338147849875157580001483 (195 digits) SNFS difficulty: 222 digits. Divisors found: r1=6883669699339048624538045703439259602053970326382681775025724502528053949656339 (pp79) r2=26012001905458092367939019617405072944892194924943508081554133721876404901952325514450717488503649609718588931259497 (pp116) Version: Msieve v. 1.52 (SVN unknown) Total time: 90.85 hours. Factorization parameters were as follows: n: 179058029335751466615051578590198060407594619444122680696799048335542391215720163006872994779295810800928579000753541842415920930121481657771106275961519929305048100977744338147849875157580001483 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 50 c0: 9 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 8254790 relations Pruned matrix : 7145419 x 7145644 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 41.48 hours. Total relation processing time: 0.43 hours. Matrix solve time: 48.26 hours. time per square root: 0.68 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 90.85 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.19041-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:08:48 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 48 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:37:27 UTC 2013 年 10 月 2 日 (水) 22 時 37 分 27 秒 (日本時間)

## 5×10222+9

### c222

name 名前 Youcef Lemsafer January 9, 2014 15:06:10 UTC 2014 年 1 月 10 日 (金) 0 時 6 分 10 秒 (日本時間) `714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287<222>` ```168636167551518717943732951228139080229795696542790482074327259820341<69> 4235661451850169911334556401514099957703760854950143276372591559084297994727960527097117500911216625526792568895480346597454230973851567349932722496565907<154>``` ``` Wed Jan 08 20:41:27 2014 Msieve v. 1.51 (SVN Official Release) Wed Jan 08 20:41:27 2014 random seeds: 5ac549c0 f5580e55 Wed Jan 08 20:41:27 2014 factoring 714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287 (222 digits) Wed Jan 08 20:41:29 2014 searching for 15-digit factors Wed Jan 08 20:41:29 2014 commencing number field sieve (222-digit input) Wed Jan 08 20:41:29 2014 R0: -10000000000000000000000000000000000000 Wed Jan 08 20:41:29 2014 R1: 1 Wed Jan 08 20:41:29 2014 A0: 9 Wed Jan 08 20:41:29 2014 A1: 0 Wed Jan 08 20:41:29 2014 A2: 0 Wed Jan 08 20:41:29 2014 A3: 0 Wed Jan 08 20:41:29 2014 A4: 0 Wed Jan 08 20:41:29 2014 A5: 0 Wed Jan 08 20:41:29 2014 A6: 5 Wed Jan 08 20:41:29 2014 skew 1.10, size 5.757e-011, alpha 0.299, combined = 2.264e-012 rroots = 0 Wed Jan 08 20:41:29 2014 Wed Jan 08 20:41:29 2014 commencing relation filtering Wed Jan 08 20:41:29 2014 estimated available RAM is 32739.1 MB Wed Jan 08 20:41:29 2014 commencing duplicate removal, pass 1 Wed Jan 08 20:46:11 2014 skipped 8 relations with b > 2^32 Wed Jan 08 20:46:11 2014 found 6099482 hash collisions in 49925353 relations Wed Jan 08 20:46:39 2014 added 2 free relations Wed Jan 08 20:46:39 2014 commencing duplicate removal, pass 2 Wed Jan 08 20:47:08 2014 found 4841136 duplicates and 45084219 unique relations Wed Jan 08 20:47:08 2014 memory use: 197.2 MB Wed Jan 08 20:47:08 2014 reading ideals above 720000 Wed Jan 08 20:47:09 2014 commencing singleton removal, initial pass Wed Jan 08 20:54:26 2014 memory use: 1378.0 MB Wed Jan 08 20:54:26 2014 reading all ideals from disk Wed Jan 08 20:54:27 2014 memory use: 1669.0 MB Wed Jan 08 20:54:33 2014 keeping 45821803 ideals with weight <= 200, target excess is 244240 Wed Jan 08 20:54:38 2014 commencing in-memory singleton removal Wed Jan 08 20:54:44 2014 begin with 45084219 relations and 45821803 unique ideals Wed Jan 08 20:55:32 2014 reduce to 24596635 relations and 22748780 ideals in 17 passes Wed Jan 08 20:55:32 2014 max relations containing the same ideal: 137 Wed Jan 08 20:55:49 2014 removing 2937395 relations and 2537395 ideals in 400000 cliques Wed Jan 08 20:55:50 2014 commencing in-memory singleton removal Wed Jan 08 20:55:52 2014 begin with 21659240 relations and 22748780 unique ideals Wed Jan 08 20:56:19 2014 reduce to 21324503 relations and 19869130 ideals in 10 passes Wed Jan 08 20:56:19 2014 max relations containing the same ideal: 126 Wed Jan 08 20:56:32 2014 removing 2232731 relations and 1832731 ideals in 400000 cliques Wed Jan 08 20:56:33 2014 commencing in-memory singleton removal Wed Jan 08 20:56:35 2014 begin with 19091772 relations and 19869130 unique ideals Wed Jan 08 20:56:56 2014 reduce to 18884493 relations and 17824998 ideals in 9 passes Wed Jan 08 20:56:56 2014 max relations containing the same ideal: 116 Wed Jan 08 20:57:08 2014 removing 2016862 relations and 1616862 ideals in 400000 cliques Wed Jan 08 20:57:08 2014 commencing in-memory singleton removal Wed Jan 08 20:57:10 2014 begin with 16867631 relations and 17824998 unique ideals Wed Jan 08 20:57:24 2014 reduce to 16683550 relations and 16020236 ideals in 9 passes Wed Jan 08 20:57:24 2014 max relations containing the same ideal: 109 Wed Jan 08 20:57:35 2014 removing 1837310 relations and 1457315 ideals in 379995 cliques Wed Jan 08 20:57:36 2014 commencing in-memory singleton removal Wed Jan 08 20:57:37 2014 begin with 14846240 relations and 16020236 unique ideals Wed Jan 08 20:57:50 2014 reduce to 14677353 relations and 14390435 ideals in 8 passes Wed Jan 08 20:57:50 2014 max relations containing the same ideal: 96 Wed Jan 08 20:58:01 2014 relations with 0 large ideals: 8861 Wed Jan 08 20:58:01 2014 relations with 1 large ideals: 2429 Wed Jan 08 20:58:01 2014 relations with 2 large ideals: 18891 Wed Jan 08 20:58:01 2014 relations with 3 large ideals: 158715 Wed Jan 08 20:58:01 2014 relations with 4 large ideals: 735115 Wed Jan 08 20:58:01 2014 relations with 5 large ideals: 2046569 Wed Jan 08 20:58:01 2014 relations with 6 large ideals: 3547101 Wed Jan 08 20:58:01 2014 relations with 7+ large ideals: 8159672 Wed Jan 08 20:58:01 2014 commencing 2-way merge Wed Jan 08 20:58:12 2014 reduce to 9120669 relation sets and 8833751 unique ideals Wed Jan 08 20:58:12 2014 commencing full merge Wed Jan 08 21:01:13 2014 memory use: 1135.5 MB Wed Jan 08 21:01:14 2014 found 4820655 cycles, need 4779951 Wed Jan 08 21:01:14 2014 weight of 4779951 cycles is about 334821506 (70.05/cycle) Wed Jan 08 21:01:14 2014 distribution of cycle lengths: Wed Jan 08 21:01:14 2014 1 relations: 671864 Wed Jan 08 21:01:14 2014 2 relations: 599266 Wed Jan 08 21:01:14 2014 3 relations: 578205 Wed Jan 08 21:01:14 2014 4 relations: 517970 Wed Jan 08 21:01:14 2014 5 relations: 460292 Wed Jan 08 21:01:14 2014 6 relations: 397280 Wed Jan 08 21:01:14 2014 7 relations: 342632 Wed Jan 08 21:01:15 2014 8 relations: 286994 Wed Jan 08 21:01:15 2014 9 relations: 234739 Wed Jan 08 21:01:15 2014 10+ relations: 690709 Wed Jan 08 21:01:15 2014 heaviest cycle: 21 relations Wed Jan 08 21:01:16 2014 commencing cycle optimization Wed Jan 08 21:01:24 2014 start with 25568021 relations Wed Jan 08 21:02:07 2014 pruned 584610 relations Wed Jan 08 21:02:07 2014 memory use: 857.5 MB Wed Jan 08 21:02:07 2014 distribution of cycle lengths: Wed Jan 08 21:02:07 2014 1 relations: 671864 Wed Jan 08 21:02:07 2014 2 relations: 611553 Wed Jan 08 21:02:07 2014 3 relations: 597104 Wed Jan 08 21:02:07 2014 4 relations: 529000 Wed Jan 08 21:02:07 2014 5 relations: 470465 Wed Jan 08 21:02:07 2014 6 relations: 402056 Wed Jan 08 21:02:07 2014 7 relations: 345440 Wed Jan 08 21:02:07 2014 8 relations: 286298 Wed Jan 08 21:02:07 2014 9 relations: 231094 Wed Jan 08 21:02:07 2014 10+ relations: 635077 Wed Jan 08 21:02:07 2014 heaviest cycle: 21 relations Wed Jan 08 21:02:12 2014 RelProcTime: 1243 Wed Jan 08 21:02:12 2014 elapsed time 00:20:45 <...snipped...> Wed Jan 08 21:03:02 2014 commencing linear algebra Wed Jan 08 21:03:04 2014 read 4779951 cycles Wed Jan 08 21:03:12 2014 cycles contain 14411385 unique relations Wed Jan 08 21:04:30 2014 read 14411385 relations Wed Jan 08 21:04:53 2014 using 20 quadratic characters above 536870910 Wed Jan 08 21:06:16 2014 building initial matrix Wed Jan 08 21:09:40 2014 memory use: 1839.5 MB Wed Jan 08 21:09:44 2014 read 4779951 cycles Wed Jan 08 21:09:46 2014 matrix is 4779773 x 4779951 (1436.7 MB) with weight 425897290 (89.10/col) Wed Jan 08 21:09:46 2014 sparse part has weight 324041411 (67.79/col) Wed Jan 08 21:10:35 2014 filtering completed in 2 passes Wed Jan 08 21:10:37 2014 matrix is 4776236 x 4776414 (1436.4 MB) with weight 425793839 (89.15/col) Wed Jan 08 21:10:37 2014 sparse part has weight 324013160 (67.84/col) Wed Jan 08 21:11:11 2014 matrix starts at (0, 0) Wed Jan 08 21:11:13 2014 matrix is 4776236 x 4776414 (1436.4 MB) with weight 425793839 (89.15/col) Wed Jan 08 21:11:13 2014 sparse part has weight 324013160 (67.84/col) Wed Jan 08 21:11:13 2014 saving the first 48 matrix rows for later Wed Jan 08 21:11:15 2014 matrix includes 64 packed rows Wed Jan 08 21:11:16 2014 matrix is 4776188 x 4776414 (1376.2 MB) with weight 339020490 (70.98/col) Wed Jan 08 21:11:16 2014 sparse part has weight 312990238 (65.53/col) Wed Jan 08 21:11:16 2014 using block size 65536 for processor cache size 15360 kB Wed Jan 08 21:11:37 2014 commencing Lanczos iteration (16 threads) Wed Jan 08 21:11:37 2014 memory use: 1668.7 MB Wed Jan 08 21:11:58 2014 linear algebra at 0.0%, ETA 17h26m Wed Jan 08 21:12:04 2014 checkpointing every 290000 dimensions Thu Jan 09 14:38:07 2014 lanczos halted after 75534 iterations (dim = 4776187) Thu Jan 09 14:38:15 2014 recovered 37 nontrivial dependencies Thu Jan 09 14:38:16 2014 BLanczosTime: 63314 Thu Jan 09 14:38:16 2014 Thu Jan 09 14:38:16 2014 commencing square root phase Thu Jan 09 14:38:16 2014 reading relations for dependency 1 Thu Jan 09 14:38:19 2014 read 2387307 cycles Thu Jan 09 14:38:24 2014 cycles contain 7204986 unique relations Thu Jan 09 14:39:28 2014 read 7204986 relations Thu Jan 09 14:40:26 2014 multiplying 7204986 relations Thu Jan 09 14:49:16 2014 multiply complete, coefficients have about 196.16 million bits Thu Jan 09 14:49:20 2014 initial square root is modulo 10956133 Thu Jan 09 15:01:28 2014 GCD is N, no factor found Thu Jan 09 15:01:28 2014 reading relations for dependency 2 Thu Jan 09 15:01:30 2014 read 2387304 cycles Thu Jan 09 15:01:36 2014 cycles contain 7202262 unique relations Thu Jan 09 15:02:37 2014 read 7202262 relations Thu Jan 09 15:03:27 2014 multiplying 7202262 relations Thu Jan 09 15:12:37 2014 multiply complete, coefficients have about 196.07 million bits Thu Jan 09 15:12:41 2014 initial square root is modulo 10876633 Thu Jan 09 15:24:17 2014 GCD is 1, no factor found Thu Jan 09 15:24:17 2014 reading relations for dependency 3 Thu Jan 09 15:24:20 2014 read 2387339 cycles Thu Jan 09 15:24:25 2014 cycles contain 7205454 unique relations Thu Jan 09 15:25:29 2014 read 7205454 relations Thu Jan 09 15:26:21 2014 multiplying 7205454 relations Thu Jan 09 15:33:48 2014 multiply complete, coefficients have about 196.16 million bits Thu Jan 09 15:33:50 2014 initial square root is modulo 10960717 Thu Jan 09 15:43:19 2014 sqrtTime: 3903 Thu Jan 09 15:43:19 2014 prp69 factor: 168636167551518717943732951228139080229795696542790482074327259820341 Thu Jan 09 15:43:19 2014 prp154 factor: 4235661451850169911334556401514099957703760854950143276372591559084297994727960527097117500911216625526792568895480346597454230973851567349932722496565907 Thu Jan 09 15:43:19 2014 elapsed time 18:40:19``` `GGNFS (SVN 440), msieve 1.51` `Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 32 GB RAM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 14:55:21 UTC 2013 年 9 月 25 日 (水) 23 時 55 分 21 秒 (日本時間)
403e62610110Ignacio SantosSeptember 25, 2013 14:55:21 UTC 2013 年 9 月 25 日 (水) 23 時 55 分 21 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:08:59 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 59 秒 (日本時間)
1000Youcef LemsaferOctober 27, 2013 12:46:46 UTC 2013 年 10 月 27 日 (日) 21 時 46 分 46 秒 (日本時間)
4511e6384432Ignacio SantosSeptember 25, 2013 14:55:21 UTC 2013 年 9 月 25 日 (水) 23 時 55 分 21 秒 (日本時間)
500Youcef LemsaferOctober 27, 2013 12:46:46 UTC 2013 年 10 月 27 日 (日) 21 時 46 分 46 秒 (日本時間)
3312Youcef LemsaferNovember 1, 2013 05:42:27 UTC 2013 年 11 月 1 日 (金) 14 時 42 分 27 秒 (日本時間)
5043e643043024Youcef LemsaferNovember 1, 2013 22:13:49 UTC 2013 年 11 月 2 日 (土) 7 時 13 分 49 秒 (日本時間)
1280Youcef LemsaferDecember 4, 2013 08:17:03 UTC 2013 年 12 月 4 日 (水) 17 時 17 分 3 秒 (日本時間)
5511e7960 / 15972Youcef LemsaferDecember 1, 2013 13:48:40 UTC 2013 年 12 月 1 日 (日) 22 時 48 分 40 秒 (日本時間)

## 5×10223+9

### c207

name 名前 Dmitry Domanov September 24, 2013 12:47:44 UTC 2013 年 9 月 24 日 (火) 21 時 47 分 44 秒 (日本時間) `297008699416929057011402975476596111247729327483430772808635176422021564876258676039097322810071290662957108584192888005992126670956392866182187713795309995675288481654826776439860885748603864345125511220779<207>` `37693995748476865700906426093395217<35>` `7879469754249403173256596316588219988192590043037405981265569692005329598619162929218454204463942882943524616887994703792614217345686039156859693945621496914321150804305787<172>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2594465528 Step 1 took 26713ms Step 2 took 10310ms ********** Factor found in step 2: 37693995748476865700906426093395217 Found probable prime factor of 35 digits: 37693995748476865700906426093395217```

### c172

name 名前 Dmitry Domanov September 26, 2013 05:01:38 UTC 2013 年 9 月 26 日 (木) 14 時 1 分 38 秒 (日本時間) `7879469754249403173256596316588219988192590043037405981265569692005329598619162929218454204463942882943524616887994703792614217345686039156859693945621496914321150804305787<172>` `324908947446970527690957463616073353<36>` `24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379<137>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1300151452 Step 1 took 19568ms Step 2 took 8276ms ********** Factor found in step 2: 324908947446970527690957463616073353 Found probable prime factor of 36 digits: 324908947446970527690957463616073353```

### c137

name 名前 Youcef Lemsafer November 30, 2013 13:58:27 UTC 2013 年 11 月 30 日 (土) 22 時 58 分 27 秒 (日本時間) `24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379<137>` ```2112678050258351803554812196626138517923484919733873265819083<61> 11478945695455227454438396151689557814700068352871997646765345040356816663113<77>``` ```Mon Nov 25 16:13:20 2013 Msieve v. 1.51 (SVN 845) Mon Nov 25 16:13:20 2013 random seeds: 7aade010 a0a2c917 Mon Nov 25 16:13:20 2013 factoring 24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379 (137 digits) Mon Nov 25 16:13:23 2013 searching for 15-digit factors Mon Nov 25 16:13:25 2013 commencing number field sieve (137-digit input) Mon Nov 25 16:13:25 2013 commencing number field sieve polynomial selection Mon Nov 25 16:13:25 2013 polynomial degree: 5 Mon Nov 25 16:13:25 2013 max stage 1 norm: 5.88e+020 Mon Nov 25 16:13:25 2013 max stage 2 norm: 2.34e+018 Mon Nov 25 16:13:25 2013 min E-value: 2.75e-011 Mon Nov 25 16:13:25 2013 poly select deadline: 86400 Mon Nov 25 16:13:25 2013 time limit set to 24.00 CPU-hours Mon Nov 25 16:13:25 2013 expecting poly E from 2.96e-011 to > 3.41e-011 Mon Nov 25 16:13:25 2013 searching leading coefficients from 10153 to 2000000 Tue Nov 26 13:57:08 2013 polynomial selection complete Tue Nov 26 13:57:08 2013 R0: -295168098731283367278274010 Tue Nov 26 13:57:08 2013 R1: 207194064729359 Tue Nov 26 13:57:08 2013 A0: 5656562426799633326852381184487341 Tue Nov 26 13:57:08 2013 A1: 48169027351059826753010511222 Tue Nov 26 13:57:08 2013 A2: -25968734531727519953165 Tue Nov 26 13:57:08 2013 A3: -77264269375117762 Tue Nov 26 13:57:08 2013 A4: 15927389908 Tue Nov 26 13:57:08 2013 A5: 10824 Tue Nov 26 13:57:08 2013 skew 1363692.69, size 3.362e-013, alpha -6.979, combined = 3.322e-011 rroots = 5 Tue Nov 26 13:57:08 2013 elapsed time 21:43:48 <[6500000, 6900000] 926244 relations, 2013-11-30 00:04:50 => 2013-11-30 09:36:51 (0.397d), Intel Xeon W3530, 1 thread> <[7000000, 9000000] 4384607 relations, 2013-11-26 14:32:42 => 2013-11-27 15:36:31 (1.044d), Intel Xeon X5660, 2 threads> <[9000000, 12000000] 6451707 relations, 2013-11-27 16:00:58 => 2013-11-29 06:53:00 (1.619d), Intel Xeon X5660, 2 threads> <[12000000, 13000000] 2200609 relations, 2013-11-28 22:14:21 => 2013-11-29 07:13:19 (0.374d), Intel Xeon W3530, 3 threads> <[13000000, 15000000] 4321477 relations, 2013-11-29 08:32:50 => 2013-11-30 02:55:19 (0.766d), Intel Xeon W3530, 3 threads> <[15000000, 16000000] 2136328 relations, 2013-11-29 08:35:03 => 2013-11-29 22:50:15 (0.594d), Intel Xeon X5660, 2 threads> <[16000000, 16720000] 1513095 relations, 2013-11-29 23:03:28 => 2013-11-30 09:32:11 (0.437d), Intel Xeon X5660, 2 threads> <[17000000, 17600000] 1245191 relations, 2013-11-30 03:56:33 => 2013-11-30 09:38:12 (0.237d), Intel Xeon W3530, 3 threads> Sat Nov 30 10:00:57 2013 Sat Nov 30 10:00:57 2013 Sat Nov 30 10:00:57 2013 Msieve v. 1.51 (SVN 845) Sat Nov 30 10:00:57 2013 random seeds: df91a038 3fe52a33 Sat Nov 30 10:00:57 2013 factoring 24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379 (137 digits) Sat Nov 30 10:00:58 2013 searching for 15-digit factors Sat Nov 30 10:00:58 2013 commencing number field sieve (137-digit input) Sat Nov 30 10:00:58 2013 R0: -295168098731283367278274010 Sat Nov 30 10:00:58 2013 R1: 207194064729359 Sat Nov 30 10:00:58 2013 A0: 5656562426799633326852381184487341 Sat Nov 30 10:00:58 2013 A1: 48169027351059826753010511222 Sat Nov 30 10:00:58 2013 A2: -25968734531727519953165 Sat Nov 30 10:00:58 2013 A3: -77264269375117762 Sat Nov 30 10:00:58 2013 A4: 15927389908 Sat Nov 30 10:00:58 2013 A5: 10824 Sat Nov 30 10:00:58 2013 skew 1363692.69, size 3.362e-013, alpha -6.979, combined = 3.322e-011 rroots = 5 Sat Nov 30 10:00:58 2013 Sat Nov 30 10:00:58 2013 commencing relation filtering Sat Nov 30 10:00:58 2013 estimated available RAM is 4096.0 MB Sat Nov 30 10:00:58 2013 commencing duplicate removal, pass 1 Sat Nov 30 10:03:19 2013 found 3273052 hash collisions in 23179258 relations Sat Nov 30 10:04:05 2013 added 121351 free relations Sat Nov 30 10:04:05 2013 commencing duplicate removal, pass 2 Sat Nov 30 10:04:20 2013 found 2854413 duplicates and 20446196 unique relations Sat Nov 30 10:04:20 2013 memory use: 98.6 MB Sat Nov 30 10:04:20 2013 reading ideals above 17498112 Sat Nov 30 10:04:26 2013 commencing singleton removal, initial pass Sat Nov 30 10:06:43 2013 memory use: 376.5 MB Sat Nov 30 10:06:43 2013 reading all ideals from disk Sat Nov 30 10:06:43 2013 memory use: 342.0 MB Sat Nov 30 10:06:44 2013 commencing in-memory singleton removal Sat Nov 30 10:06:44 2013 begin with 20446196 relations and 19614196 unique ideals Sat Nov 30 10:06:52 2013 reduce to 9065739 relations and 6481045 ideals in 18 passes Sat Nov 30 10:06:52 2013 max relations containing the same ideal: 35 Sat Nov 30 10:06:53 2013 reading ideals above 100000 Sat Nov 30 10:06:53 2013 commencing singleton removal, initial pass Sat Nov 30 10:08:09 2013 memory use: 188.3 MB Sat Nov 30 10:08:09 2013 reading all ideals from disk Sat Nov 30 10:08:09 2013 memory use: 350.2 MB Sat Nov 30 10:08:10 2013 keeping 8672343 ideals with weight <= 200, target excess is 47199 Sat Nov 30 10:08:11 2013 commencing in-memory singleton removal Sat Nov 30 10:08:11 2013 begin with 9066121 relations and 8672343 unique ideals Sat Nov 30 10:08:22 2013 reduce to 9006313 relations and 8610692 ideals in 13 passes Sat Nov 30 10:08:22 2013 max relations containing the same ideal: 200 Sat Nov 30 10:08:26 2013 removing 1347383 relations and 1176948 ideals in 170435 cliques Sat Nov 30 10:08:27 2013 commencing in-memory singleton removal Sat Nov 30 10:08:27 2013 begin with 7658930 relations and 8610692 unique ideals Sat Nov 30 10:08:35 2013 reduce to 7495033 relations and 7265729 ideals in 11 passes Sat Nov 30 10:08:35 2013 max relations containing the same ideal: 184 Sat Nov 30 10:08:38 2013 removing 1012442 relations and 842007 ideals in 170435 cliques Sat Nov 30 10:08:38 2013 commencing in-memory singleton removal Sat Nov 30 10:08:39 2013 begin with 6482591 relations and 7265729 unique ideals Sat Nov 30 10:08:45 2013 reduce to 6371185 relations and 6309717 ideals in 10 passes Sat Nov 30 10:08:45 2013 max relations containing the same ideal: 164 Sat Nov 30 10:08:49 2013 relations with 0 large ideals: 172 Sat Nov 30 10:08:49 2013 relations with 1 large ideals: 121 Sat Nov 30 10:08:49 2013 relations with 2 large ideals: 1634 Sat Nov 30 10:08:49 2013 relations with 3 large ideals: 21436 Sat Nov 30 10:08:49 2013 relations with 4 large ideals: 140958 Sat Nov 30 10:08:49 2013 relations with 5 large ideals: 548348 Sat Nov 30 10:08:49 2013 relations with 6 large ideals: 1299676 Sat Nov 30 10:08:49 2013 relations with 7+ large ideals: 4358840 Sat Nov 30 10:08:49 2013 commencing 2-way merge Sat Nov 30 10:08:53 2013 reduce to 3782458 relation sets and 3720991 unique ideals Sat Nov 30 10:08:53 2013 ignored 1 oversize relation sets Sat Nov 30 10:08:53 2013 commencing full merge Sat Nov 30 10:09:54 2013 memory use: 401.3 MB Sat Nov 30 10:09:54 2013 found 1956779 cycles, need 1945191 Sat Nov 30 10:09:54 2013 weight of 1945191 cycles is about 136542192 (70.19/cycle) Sat Nov 30 10:09:54 2013 distribution of cycle lengths: Sat Nov 30 10:09:54 2013 1 relations: 272057 Sat Nov 30 10:09:54 2013 2 relations: 240078 Sat Nov 30 10:09:54 2013 3 relations: 224761 Sat Nov 30 10:09:54 2013 4 relations: 197540 Sat Nov 30 10:09:54 2013 5 relations: 176282 Sat Nov 30 10:09:54 2013 6 relations: 148988 Sat Nov 30 10:09:54 2013 7 relations: 130528 Sat Nov 30 10:09:54 2013 8 relations: 111086 Sat Nov 30 10:09:54 2013 9 relations: 93147 Sat Nov 30 10:09:54 2013 10+ relations: 350724 Sat Nov 30 10:09:54 2013 heaviest cycle: 24 relations Sat Nov 30 10:09:55 2013 commencing cycle optimization Sat Nov 30 10:09:57 2013 start with 11149727 relations Sat Nov 30 10:10:15 2013 pruned 249099 relations Sat Nov 30 10:10:15 2013 memory use: 295.9 MB Sat Nov 30 10:10:15 2013 distribution of cycle lengths: Sat Nov 30 10:10:15 2013 1 relations: 272057 Sat Nov 30 10:10:15 2013 2 relations: 245152 Sat Nov 30 10:10:15 2013 3 relations: 232291 Sat Nov 30 10:10:15 2013 4 relations: 201364 Sat Nov 30 10:10:15 2013 5 relations: 179638 Sat Nov 30 10:10:15 2013 6 relations: 150608 Sat Nov 30 10:10:15 2013 7 relations: 131329 Sat Nov 30 10:10:15 2013 8 relations: 110780 Sat Nov 30 10:10:15 2013 9 relations: 92025 Sat Nov 30 10:10:15 2013 10+ relations: 329947 Sat Nov 30 10:10:15 2013 heaviest cycle: 23 relations Sat Nov 30 10:10:17 2013 RelProcTime: 559 Sat Nov 30 10:10:17 2013 elapsed time 00:09:20 <..snipped...> Sat Nov 30 10:14:15 2013 Sat Nov 30 10:14:17 2013 Sat Nov 30 10:14:17 2013 commencing linear algebra Sat Nov 30 10:14:18 2013 read 1945191 cycles Sat Nov 30 10:14:21 2013 cycles contain 6258670 unique relations Sat Nov 30 10:14:59 2013 read 6258670 relations Sat Nov 30 10:15:08 2013 using 20 quadratic characters above 268435010 Sat Nov 30 10:15:34 2013 building initial matrix Sat Nov 30 10:16:46 2013 memory use: 737.0 MB Sat Nov 30 10:16:48 2013 read 1945191 cycles Sat Nov 30 10:16:49 2013 matrix is 1945013 x 1945191 (561.5 MB) with weight 185956931 (95.60/col) Sat Nov 30 10:16:49 2013 sparse part has weight 131622072 (67.67/col) Sat Nov 30 10:17:07 2013 filtering completed in 2 passes Sat Nov 30 10:17:08 2013 matrix is 1943708 x 1943885 (561.4 MB) with weight 185906115 (95.64/col) Sat Nov 30 10:17:08 2013 sparse part has weight 131609154 (67.70/col) Sat Nov 30 10:17:11 2013 matrix starts at (0, 0) Sat Nov 30 10:17:12 2013 matrix is 1943708 x 1943885 (561.4 MB) with weight 185906115 (95.64/col) Sat Nov 30 10:17:12 2013 sparse part has weight 131609154 (67.70/col) Sat Nov 30 10:17:12 2013 saving the first 48 matrix rows for later Sat Nov 30 10:17:13 2013 matrix includes 64 packed rows Sat Nov 30 10:17:13 2013 matrix is 1943660 x 1943885 (542.0 MB) with weight 148590924 (76.44/col) Sat Nov 30 10:17:13 2013 sparse part has weight 130407825 (67.09/col) Sat Nov 30 10:17:13 2013 using block size 65536 for processor cache size 8192 kB Sat Nov 30 10:17:25 2013 commencing Lanczos iteration (8 threads) Sat Nov 30 10:17:25 2013 memory use: 553.3 MB Sat Nov 30 10:17:37 2013 linear algebra at 0.1%, ETA 4h15m Sat Nov 30 10:17:41 2013 checkpointing every 460000 dimensions Sat Nov 30 14:28:48 2013 lanczos halted after 30737 iterations (dim = 1943660) Sat Nov 30 14:28:51 2013 recovered 31 nontrivial dependencies Sat Nov 30 14:28:51 2013 BLanczosTime: 15274 Sat Nov 30 14:28:51 2013 Sat Nov 30 14:28:51 2013 commencing square root phase Sat Nov 30 14:28:51 2013 reading relations for dependency 1 Sat Nov 30 14:28:52 2013 read 972361 cycles Sat Nov 30 14:28:53 2013 cycles contain 3128908 unique relations Sat Nov 30 14:29:23 2013 read 3128908 relations Sat Nov 30 14:29:38 2013 multiplying 3128908 relations Sat Nov 30 14:37:04 2013 multiply complete, coefficients have about 145.42 million bits Sat Nov 30 14:37:06 2013 initial square root is modulo 165587 Sat Nov 30 14:46:27 2013 sqrtTime: 1056 Sat Nov 30 14:46:27 2013 prp61 factor: 2112678050258351803554812196626138517923484919733873265819083 Sat Nov 30 14:46:27 2013 prp77 factor: 11478945695455227454438396151689557814700068352871997646765345040356816663113 Sat Nov 30 14:46:27 2013 elapsed time 04:32:12``` `GGNFS (SVN 440), msieve 1.51 (SVN 845)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 11:57:18 UTC 2013 年 9 月 27 日 (金) 20 時 57 分 18 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 11:57:18 UTC 2013 年 9 月 27 日 (金) 20 時 57 分 18 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:09:11 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 11 秒 (日本時間)
4511e62732 / 410532Ignacio SantosSeptember 27, 2013 11:57:18 UTC 2013 年 9 月 27 日 (金) 20 時 57 分 18 秒 (日本時間)
1000Dmitry DomanovSeptember 30, 2013 12:09:11 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:40 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:48 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 48 秒 (日本時間)

## 5×10225+9

### c190

composite cofactor 合成数の残り `2671429345696722181995789034113743477679539321658103059423255918016749499926252956511425172567055533821911207633656050607387566481572645661168641648751941680345963327049078217647496698294209<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:09:26 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 26 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:37:44 UTC 2013 年 10 月 2 日 (水) 22 時 37 分 44 秒 (日本時間)

## 5×10226+9

### c192

name 名前 Dmitry Domanov September 24, 2013 11:25:26 UTC 2013 年 9 月 24 日 (火) 20 時 25 分 26 秒 (日本時間) `569425116383765402086509774231965892533241477257487753197841118801811801957738781788304867552237288137608878514343101122388797670697393601652066843566458418713852062009346133166844092927556647<192>` `246356983626500158449846545049463<33>` `2311382076536000462786030100837335088697275554276610055492327079013440307683400925648332316083990123725597367549522448022851472477835735833927963213825485429969<160>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=926796749 Step 1 took 22745ms Step 2 took 9411ms ********** Factor found in step 2: 246356983626500158449846545049463 Found probable prime factor of 33 digits: 246356983626500158449846545049463```

### c160

name 名前 Dmitry Domanov September 25, 2013 05:13:01 UTC 2013 年 9 月 25 日 (水) 14 時 13 分 1 秒 (日本時間) `2311382076536000462786030100837335088697275554276610055492327079013440307683400925648332316083990123725597367549522448022851472477835735833927963213825485429969<160>` ```9740042102177178830936135702579749<34> 237307195624887520767770052163021632887874297205275691488000504437760569526395723423417903946759122992969650598357440085854781<126>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2223589952 Step 1 took 19407ms Step 2 took 7934ms ********** Factor found in step 2: 9740042102177178830936135702579749 Found probable prime factor of 34 digits: 9740042102177178830936135702579749```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

## 5×10227+9

### c209

composite cofactor 合成数の残り `95912592364230052599414575272528199194727560391237403823422298940289287444155247765731123303720605372341445861323864890478915984681152071664098906194350749915208972945309851634068198023590936388726981915019779<209>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e623401500Dmitry DomanovSeptember 30, 2013 12:09:35 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 35 秒 (日本時間)
840Youcef LemsaferDecember 31, 2013 15:19:23 UTC 2014 年 1 月 1 日 (水) 0 時 19 分 23 秒 (日本時間)
4511e62499 / 3958Youcef LemsaferJanuary 2, 2014 07:12:20 UTC 2014 年 1 月 2 日 (木) 16 時 12 分 20 秒 (日本時間)

## 5×10228+9

### c200

name 名前 Dmitry Domanov September 26, 2013 05:00:44 UTC 2013 年 9 月 26 日 (木) 14 時 0 分 44 秒 (日本時間) `44685191688433679566496917147386510803481636738893840497500675970895002284951666317648562915855004898600513250274816672763084720273348300525791674142013846309881184150937120868552405927944600905077327<200>` `48676633297005541529517792072297028635209<41>` `918000869447612249837425612733857768973851786094055475591772983566600815867860032572590793366390854567356187671327366526941317582568125433381811372853452601303<159>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1875199711 Step 1 took 27533ms Step 2 took 9947ms ********** Factor found in step 2: 48676633297005541529517792072297028635209 Found probable prime factor of 41 digits: 48676633297005541529517792072297028635209```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:10 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 30, 2013 12:10:10 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 10 秒 (日本時間)

## 5×10229+9

### c194

name 名前 Seth Troisi November 16, 2023 11:02:27 UTC 2023 年 11 月 16 日 (木) 20 時 2 分 27 秒 (日本時間) `12643530849811651471445833021280493463426724370081912430027885567314848372114700568409999954310243142945185091082176379325398979593265665274732252428235594208023091781546854715769642850778582803<194>` ```80109470430049789177721628776680081527006382183194621913<56> 157828166656672197112746350284384892744024120579160475002209643970259900945698771568155996524593642935732703119803131188331672781786019531<138>``` ```GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-gpu, --enable-assert] [P-1] Tuned for x86_64/params.h Running on five Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Sat Nov 11 12:28:51 2023 Input number is 12643530849811651471445833021280493463426724370081912430027885567314848372114700568409999954310243142945185091082176379325398979593265665274732252428235594208023091781546854715769642850778582803 (194 digits) Using mpz_mod Using lmax = 16777216 with NTT which takes about 4800MB of memory P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13 Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.77 0.5 0.25 0.11 0.04 0.013 0.0039 0.0011 0.00026 6.1e-05 Step 1 took 0ms Computing F from factored S_1 took 46610ms Computing h took 5752ms Computing DCT-I of h took 13828ms Multi-point evaluation 1 of 5: Computing g_i took 21087ms Computing g*h took 28538ms Computing gcd of coefficients and N took 7725ms Step 2 took 124077ms ********** Factor found in step 2: 80109470430049789177721628776680081527006382183194621913 Found prime factor of 56 digits: 80109470430049789177721628776680081527006382183194621913 Prime cofactor 157828166656672197112746350284384892744024120579160475002209643970259900945698771568155996524593642935732703119803131188331672781786019531 has 138 digits Peak memory usage: 4907MB``` `1080 ti for stage 1 (21538ms)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e623401500Dmitry DomanovSeptember 30, 2013 12:09:56 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 56 秒 (日本時間)
840Youcef LemsaferJanuary 2, 2014 07:13:11 UTC 2014 年 1 月 2 日 (木) 16 時 13 分 11 秒 (日本時間)
4511e62499 / 3958Youcef LemsaferJanuary 3, 2014 16:30:21 UTC 2014 年 1 月 4 日 (土) 1 時 30 分 21 秒 (日本時間)

## 5×10230+9

### c197

composite cofactor 合成数の残り `15966245638792315418449762238580744313395700722432013260321673974834515216956233402951981374753174275086982928112687127530518122983584155726089060251970763585298054665122705563832541187813524808989<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:22 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:38:13 UTC 2013 年 10 月 2 日 (水) 22 時 38 分 13 秒 (日本時間)

## 5×10231+9

### c231

name 名前 Dmitry Domanov September 27, 2013 05:08:37 UTC 2013 年 9 月 27 日 (金) 14 時 8 分 37 秒 (日本時間) `294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941177<231>` ```10836814391645220835432511876314630171<38> 27140600219708224461354507470930724794074214941199294626435415054122545641807444358816269857939242459402177135741955316769260938506960641138202694081159763176968269060241147146042825307743515387<194>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1404452063 Step 1 took 30459ms Step 2 took 11856ms ********** Factor found in step 2: 10836814391645220835432511876314630171 Found probable prime factor of 38 digits: 10836814391645220835432511876314630171```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 15:19:15 UTC 2013 年 9 月 26 日 (木) 0 時 19 分 15 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 25, 2013 15:19:15 UTC 2013 年 9 月 26 日 (木) 0 時 19 分 15 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 25, 2013 15:19:15 UTC 2013 年 9 月 26 日 (木) 0 時 19 分 15 秒 (日本時間)

## 5×10232+9

### c218

composite cofactor 合成数の残り `31592230812888858503292085356717497637628707419700014869457581896352686472865913728015273480122964005340090170644962158702038431771526555857600644526769512372912363231641604465493623450996203468685309959149688165003169<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:31 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 31 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:43:41 UTC 2013 年 11 月 30 日 (土) 0 時 43 分 41 秒 (日本時間)

## 5×10234+9

### c223

composite cofactor 合成数の残り `8384483153875399665485818690112818774666727730640597710288853395203620248208217652140016231507220572946472260143667390028841305802858980565779330337255210533885383562484133778521508273561354218307983508105316983796719378407<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:38 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 38 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:43:53 UTC 2013 年 11 月 30 日 (土) 0 時 43 分 53 秒 (日本時間)

## 5×10235+9

### c208

name 名前 Dmitry Domanov September 24, 2013 11:39:40 UTC 2013 年 9 月 24 日 (火) 20 時 39 分 40 秒 (日本時間) `1004845756862290418534312947654477779852958571098587368959109437146505266100990564093967694772436598791408638396650728631339140287886990594080132781156137279026710326501695407497587440572621710263297536069627<208>` ```3461858547198214226322930549401<31> 290261933918571622641069649879196231784514338173941486645496153523602094843269118919612936035954145787877181635017899390205738696002153668338700761458437543535129115081150715827<177>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1643937751 Step 1 took 26766ms Step 2 took 10272ms ********** Factor found in step 2: 3461858547198214226322930549401 Found probable prime factor of 31 digits: 3461858547198214226322930549401```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

## 5×10236+9

### c229

composite cofactor 合成数の残り `1013191450757814417892260702452238818651676874709002549917161568305186168974570554193575199410920763891479422419027861891524809343256008946188711053683059436309031570962523914535120740576323034160505603121978428793317209661261141<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:49 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 49 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:44:05 UTC 2013 年 11 月 30 日 (土) 0 時 44 分 5 秒 (日本時間)

## 5×10237+9

### c201

name 名前 Dmitry Domanov September 26, 2013 10:08:48 UTC 2013 年 9 月 26 日 (木) 19 時 8 分 48 秒 (日本時間) `527863915152118342403033973581618644263484642047842709316130387841462123870270721922760378223807174317648488799264270403398372233711300375666985565012595537301332320077376157519344000090405639525232281<201>` `16471659183685057753020716902344251<35>` `32046796820259611838390201146914264810731324105193365848941723640646467080266742053688228008287865040869616845585099455446210245651235185930651233429969912746194185531<167>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=701972193 Step 1 took 26686ms Step 2 took 9999ms ********** Factor found in step 2: 16471659183685057753020716902344251 Found probable prime factor of 35 digits: 16471659183685057753020716902344251```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:11:10 UTC 2013 年 9 月 30 日 (月) 21 時 11 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 30, 2013 12:11:10 UTC 2013 年 9 月 30 日 (月) 21 時 11 分 10 秒 (日本時間)

## 5×10238+9

### c239

name 名前 Dmitry Domanov March 29, 2017 11:59:33 UTC 2017 年 3 月 29 日 (水) 20 時 59 分 33 秒 (日本時間) `50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<239>` ```2663984116560283462723906287447909666071595033259154603<55> 202257618857795192716689629824310560603735718078120890663551311812708712347<75> 92796903175073991321555147968618241117717774771484946314878796558802615590903089266791593290401437884164453249<110>``` ```Sieving by NFS@home, postprocessing by Dmitry Domanov. Fri Mar 24 18:52:31 2017 Msieve v. 1.52 (SVN exported) Fri Mar 24 18:52:31 2017 random seeds: dcb6d389 6541d189 Fri Mar 24 18:52:31 2017 factoring 50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (239 digits) Fri Mar 24 18:52:34 2017 searching for 15-digit factors Fri Mar 24 18:52:38 2017 commencing number field sieve (239-digit input) Fri Mar 24 18:52:38 2017 R0: -5000000000000000000000000000000000000000 Fri Mar 24 18:52:38 2017 R1: 1 Fri Mar 24 18:52:38 2017 A0: 45 Fri Mar 24 18:52:38 2017 A1: 0 Fri Mar 24 18:52:38 2017 A2: 0 Fri Mar 24 18:52:38 2017 A3: 0 Fri Mar 24 18:52:38 2017 A4: 0 Fri Mar 24 18:52:38 2017 A5: 0 Fri Mar 24 18:52:38 2017 A6: 16 Fri Mar 24 18:52:38 2017 skew 1.00, size 6.797e-12, alpha 0.213, combined = 4.837e-13 rroots = 0 Fri Mar 24 18:52:38 2017 Fri Mar 24 18:52:38 2017 commencing relation filtering Fri Mar 24 18:52:38 2017 setting target matrix density to 100.0 Fri Mar 24 18:52:38 2017 estimated available RAM is 96649.3 MB Fri Mar 24 18:52:38 2017 commencing duplicate removal, pass 1 Fri Mar 24 19:40:30 2017 skipped 25 relations with b > 2^32 Fri Mar 24 19:40:30 2017 found 20457450 hash collisions in 104965526 relations Fri Mar 24 19:41:08 2017 added 1219187 free relations Fri Mar 24 19:41:08 2017 commencing duplicate removal, pass 2 Fri Mar 24 20:06:44 2017 found 20358498 duplicates and 85826215 unique relations Fri Mar 24 20:06:44 2017 memory use: 660.8 MB Fri Mar 24 20:06:44 2017 reading ideals above 720000 Fri Mar 24 20:06:44 2017 commencing singleton removal, initial pass Fri Mar 24 20:59:13 2017 memory use: 2756.0 MB Fri Mar 24 20:59:13 2017 reading all ideals from disk Fri Mar 24 20:59:22 2017 memory use: 3319.0 MB Fri Mar 24 20:59:41 2017 keeping 88543312 ideals with weight <= 200, target excess is 434527 Fri Mar 24 21:00:04 2017 commencing in-memory singleton removal Fri Mar 24 21:00:21 2017 begin with 85826215 relations and 88543312 unique ideals Fri Mar 24 21:03:56 2017 reduce to 46725445 relations and 44548068 ideals in 18 passes Fri Mar 24 21:03:56 2017 max relations containing the same ideal: 139 Fri Mar 24 21:04:53 2017 removing 3509383 relations and 3109383 ideals in 400000 cliques Fri Mar 24 21:04:55 2017 commencing in-memory singleton removal Fri Mar 24 21:05:07 2017 begin with 43216062 relations and 44548068 unique ideals Fri Mar 24 21:06:42 2017 reduce to 42996419 relations and 41216311 ideals in 9 passes Fri Mar 24 21:06:42 2017 max relations containing the same ideal: 133 Fri Mar 24 21:07:30 2017 removing 2616477 relations and 2216477 ideals in 400000 cliques Fri Mar 24 21:07:32 2017 commencing in-memory singleton removal Fri Mar 24 21:07:42 2017 begin with 40379942 relations and 41216311 unique ideals Fri Mar 24 21:09:03 2017 reduce to 40246348 relations and 38864861 ideals in 8 passes Fri Mar 24 21:09:03 2017 max relations containing the same ideal: 128 Fri Mar 24 21:09:55 2017 removing 2334858 relations and 1934858 ideals in 400000 cliques Fri Mar 24 21:09:57 2017 commencing in-memory singleton removal Fri Mar 24 21:10:05 2017 begin with 37911490 relations and 38864861 unique ideals Fri Mar 24 21:11:12 2017 reduce to 37797767 relations and 36815110 ideals in 7 passes Fri Mar 24 21:11:12 2017 max relations containing the same ideal: 123 Fri Mar 24 21:11:53 2017 removing 2182576 relations and 1782576 ideals in 400000 cliques Fri Mar 24 21:11:55 2017 commencing in-memory singleton removal Fri Mar 24 21:12:03 2017 begin with 35615191 relations and 36815110 unique ideals Fri Mar 24 21:13:10 2017 reduce to 35509835 relations and 34926088 ideals in 8 passes Fri Mar 24 21:13:10 2017 max relations containing the same ideal: 114 Fri Mar 24 21:13:45 2017 removing 549090 relations and 469395 ideals in 79695 cliques Fri Mar 24 21:13:46 2017 commencing in-memory singleton removal Fri Mar 24 21:13:53 2017 begin with 34960745 relations and 34926088 unique ideals Fri Mar 24 21:14:25 2017 reduce to 34954510 relations and 34450441 ideals in 5 passes Fri Mar 24 21:14:25 2017 max relations containing the same ideal: 114 Fri Mar 24 21:14:45 2017 relations with 0 large ideals: 16599 Fri Mar 24 21:14:45 2017 relations with 1 large ideals: 3819 Fri Mar 24 21:14:45 2017 relations with 2 large ideals: 51924 Fri Mar 24 21:14:45 2017 relations with 3 large ideals: 413401 Fri Mar 24 21:14:45 2017 relations with 4 large ideals: 1839367 Fri Mar 24 21:14:45 2017 relations with 5 large ideals: 4974397 Fri Mar 24 21:14:45 2017 relations with 6 large ideals: 8464539 Fri Mar 24 21:14:45 2017 relations with 7+ large ideals: 19190464 Fri Mar 24 21:14:45 2017 commencing 2-way merge Fri Mar 24 21:15:39 2017 reduce to 22599204 relation sets and 22095135 unique ideals Fri Mar 24 21:15:39 2017 commencing full merge Fri Mar 24 21:37:16 2017 memory use: 2879.4 MB Fri Mar 24 21:37:19 2017 found 10629441 cycles, need 10603335 Fri Mar 24 21:37:25 2017 weight of 10603335 cycles is about 1060499487 (100.02/cycle) Fri Mar 24 21:37:25 2017 distribution of cycle lengths: Fri Mar 24 21:37:25 2017 1 relations: 883329 Fri Mar 24 21:37:25 2017 2 relations: 1002354 Fri Mar 24 21:37:25 2017 3 relations: 1013137 Fri Mar 24 21:37:25 2017 4 relations: 942464 Fri Mar 24 21:37:25 2017 5 relations: 869405 Fri Mar 24 21:37:25 2017 6 relations: 778296 Fri Mar 24 21:37:25 2017 7 relations: 703734 Fri Mar 24 21:37:25 2017 8 relations: 623688 Fri Mar 24 21:37:25 2017 9 relations: 551708 Fri Mar 24 21:37:25 2017 10+ relations: 3235220 Fri Mar 24 21:37:25 2017 heaviest cycle: 28 relations Fri Mar 24 21:37:29 2017 commencing cycle optimization Fri Mar 24 21:38:04 2017 start with 80321813 relations Fri Mar 24 21:43:42 2017 pruned 2891735 relations Fri Mar 24 21:43:42 2017 memory use: 2272.1 MB Fri Mar 24 21:43:42 2017 distribution of cycle lengths: Fri Mar 24 21:43:42 2017 1 relations: 883329 Fri Mar 24 21:43:42 2017 2 relations: 1026156 Fri Mar 24 21:43:42 2017 3 relations: 1055249 Fri Mar 24 21:43:42 2017 4 relations: 975263 Fri Mar 24 21:43:42 2017 5 relations: 901370 Fri Mar 24 21:43:42 2017 6 relations: 800500 Fri Mar 24 21:43:42 2017 7 relations: 721111 Fri Mar 24 21:43:42 2017 8 relations: 634303 Fri Mar 24 21:43:42 2017 9 relations: 558796 Fri Mar 24 21:43:42 2017 10+ relations: 3047258 Fri Mar 24 21:43:42 2017 heaviest cycle: 28 relations Fri Mar 24 21:44:19 2017 RelProcTime: 10301 Fri Mar 24 21:44:19 2017 elapsed time 02:51:48 Fri Mar 24 23:02:36 2017 Fri Mar 24 23:02:36 2017 Fri Mar 24 23:02:36 2017 Msieve v. 1.52 (SVN exported) Fri Mar 24 23:02:36 2017 random seeds: ea199973 b8326be5 Fri Mar 24 23:02:36 2017 factoring 50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (239 digits) Fri Mar 24 23:02:39 2017 searching for 15-digit factors Fri Mar 24 23:02:42 2017 commencing number field sieve (239-digit input) Fri Mar 24 23:02:42 2017 R0: -5000000000000000000000000000000000000000 Fri Mar 24 23:02:42 2017 R1: 1 Fri Mar 24 23:02:42 2017 A0: 45 Fri Mar 24 23:02:42 2017 A1: 0 Fri Mar 24 23:02:42 2017 A2: 0 Fri Mar 24 23:02:42 2017 A3: 0 Fri Mar 24 23:02:42 2017 A4: 0 Fri Mar 24 23:02:42 2017 A5: 0 Fri Mar 24 23:02:42 2017 A6: 16 Fri Mar 24 23:02:42 2017 skew 1.00, size 6.797e-12, alpha 0.213, combined = 4.837e-13 rroots = 0 Fri Mar 24 23:02:42 2017 Fri Mar 24 23:02:42 2017 commencing linear algebra Fri Mar 24 23:02:44 2017 read 10603335 cycles Fri Mar 24 23:03:20 2017 cycles contain 34626677 unique relations Fri Mar 24 23:26:07 2017 read 34626677 relations Fri Mar 24 23:27:52 2017 using 20 quadratic characters above 1073741790 Fri Mar 24 23:32:07 2017 building initial matrix Fri Mar 24 23:43:10 2017 memory use: 4484.5 MB Fri Mar 24 23:43:19 2017 read 10603335 cycles Fri Mar 24 23:43:22 2017 matrix is 10603158 x 10603335 (4274.0 MB) with weight 1232948452 (116.28/col) Fri Mar 24 23:43:22 2017 sparse part has weight 1003776630 (94.67/col) Fri Mar 24 23:47:10 2017 filtering completed in 2 passes Fri Mar 24 23:47:14 2017 matrix is 10602350 x 10602526 (4274.0 MB) with weight 1232923411 (116.29/col) Fri Mar 24 23:47:14 2017 sparse part has weight 1003769628 (94.67/col) Fri Mar 24 23:48:56 2017 matrix starts at (0, 0) Fri Mar 24 23:48:59 2017 matrix is 10602350 x 10602526 (4274.0 MB) with weight 1232923411 (116.29/col) Fri Mar 24 23:48:59 2017 sparse part has weight 1003769628 (94.67/col) Fri Mar 24 23:48:59 2017 saving the first 48 matrix rows for later Fri Mar 24 23:49:02 2017 matrix includes 64 packed rows Fri Mar 24 23:49:05 2017 matrix is 10602302 x 10602526 (4100.7 MB) with weight 1046034884 (98.66/col) Fri Mar 24 23:49:05 2017 sparse part has weight 968955387 (91.39/col) Fri Mar 24 23:49:05 2017 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Fri Mar 24 23:50:25 2017 commencing Lanczos iteration (12 threads) Fri Mar 24 23:50:25 2017 memory use: 3457.5 MB Fri Mar 24 23:51:12 2017 linear algebra at 0.0%, ETA 87h31m Fri Mar 24 23:51:26 2017 checkpointing every 130000 dimensions Tue Mar 28 22:30:25 2017 lanczos halted after 167675 iterations (dim = 10602300) Tue Mar 28 22:30:46 2017 recovered 39 nontrivial dependencies Tue Mar 28 22:30:47 2017 BLanczosTime: 343685 Tue Mar 28 22:30:47 2017 Tue Mar 28 22:30:47 2017 commencing square root phase Tue Mar 28 22:30:47 2017 reading relations for dependency 1 Tue Mar 28 22:30:52 2017 read 5302615 cycles Tue Mar 28 22:31:07 2017 cycles contain 17312698 unique relations Tue Mar 28 22:51:00 2017 read 17312698 relations Tue Mar 28 22:53:14 2017 multiplying 17312698 relations Tue Mar 28 23:14:44 2017 multiply complete, coefficients have about 500.74 million bits Tue Mar 28 23:14:48 2017 initial square root is modulo 965626171 Tue Mar 28 23:40:56 2017 GCD is 1, no factor found Tue Mar 28 23:40:56 2017 reading relations for dependency 2 Tue Mar 28 23:40:58 2017 read 5301027 cycles Tue Mar 28 23:41:15 2017 cycles contain 17309868 unique relations Wed Mar 29 00:10:50 2017 read 17309868 relations Wed Mar 29 00:13:54 2017 multiplying 17309868 relations Wed Mar 29 00:45:17 2017 multiply complete, coefficients have about 500.65 million bits Wed Mar 29 00:45:21 2017 initial square root is modulo 962077993 Wed Mar 29 01:17:40 2017 found factor: 202257618857795192716689629824310560603735718078120890663551311812708712347 Wed Mar 29 01:17:40 2017 reading relations for dependency 3 Wed Mar 29 01:17:42 2017 read 5300167 cycles Wed Mar 29 01:18:00 2017 cycles contain 17310268 unique relations Wed Mar 29 01:44:59 2017 read 17310268 relations Wed Mar 29 01:47:36 2017 multiplying 17310268 relations Wed Mar 29 02:14:58 2017 multiply complete, coefficients have about 500.67 million bits Wed Mar 29 02:15:03 2017 initial square root is modulo 962825557 Wed Mar 29 02:44:36 2017 found factor: 202257618857795192716689629824310560603735718078120890663551311812708712347 Wed Mar 29 02:44:36 2017 reading relations for dependency 4 Wed Mar 29 02:44:39 2017 read 5300133 cycles Wed Mar 29 02:44:59 2017 cycles contain 17305804 unique relations Wed Mar 29 03:11:22 2017 read 17305804 relations Wed Mar 29 03:14:19 2017 multiplying 17305804 relations Wed Mar 29 03:40:37 2017 multiply complete, coefficients have about 500.54 million bits Wed Mar 29 03:40:40 2017 initial square root is modulo 957666439 Wed Mar 29 04:09:20 2017 GCD is 1, no factor found Wed Mar 29 04:09:20 2017 reading relations for dependency 5 Wed Mar 29 04:09:23 2017 read 5299455 cycles Wed Mar 29 04:09:37 2017 cycles contain 17308064 unique relations Wed Mar 29 04:33:00 2017 read 17308064 relations Wed Mar 29 04:35:26 2017 multiplying 17308064 relations Wed Mar 29 05:00:32 2017 multiply complete, coefficients have about 500.60 million bits Wed Mar 29 05:00:36 2017 initial square root is modulo 960144439 Wed Mar 29 05:28:34 2017 found factor: 202257618857795192716689629824310560603735718078120890663551311812708712347 Wed Mar 29 05:28:34 2017 reading relations for dependency 6 Wed Mar 29 05:28:36 2017 read 5303207 cycles Wed Mar 29 05:28:56 2017 cycles contain 17319376 unique relations Wed Mar 29 05:52:29 2017 read 17319376 relations Wed Mar 29 05:55:10 2017 multiplying 17319376 relations Wed Mar 29 06:22:05 2017 multiply complete, coefficients have about 500.93 million bits Wed Mar 29 06:22:08 2017 initial square root is modulo 973155793 Wed Mar 29 06:51:23 2017 sqrtTime: 30036 Wed Mar 29 06:51:23 2017 prp55 factor: 2663984116560283462723906287447909666071595033259154603 Wed Mar 29 06:51:23 2017 prp75 factor: 202257618857795192716689629824310560603735718078120890663551311812708712347 Wed Mar 29 06:51:23 2017 prp110 factor: 92796903175073991321555147968618241117717774771484946314878796558802615590903089266791593290401437884164453249 Wed Mar 29 06:51:23 2017 elapsed time 103:48:47```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 19:19:06 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 6 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 19:19:06 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 6 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:12:50 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 50 秒 (日本時間)
4511e6203232Ignacio SantosSeptember 25, 2013 19:19:06 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 6 秒 (日本時間)
2000Dmitry DomanovSeptember 27, 2013 12:12:50 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 50 秒 (日本時間)
5043e61300 / 7034800Dmitry DomanovOctober 11, 2013 11:27:42 UTC 2013 年 10 月 11 日 (金) 20 時 27 分 42 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:46 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 46 秒 (日本時間)

## 5×10239+9

### c240

name 名前 NFS@Home + Dmitry Domanov December 2, 2018 20:52:22 UTC 2018 年 12 月 3 日 (月) 5 時 52 分 22 秒 (日本時間) `500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<240>` ```1417246379190741091294710887069988693962460050539272292265856038031419418353106811<82> 352796808897479039998029361876750939883691770698572023810385208817313795464240723590109959613347704487197168636357320722740471737579381480952371265847215244619<159>``` ```Thu Oct 11 20:14:53 2018 prp82 factor: 1417246379190741091294710887069988693962460050539272292265856038031419418353106811 Thu Oct 11 20:14:53 2018 prp159 factor: 352796808897479039998029361876750939883691770698572023810385208817313795464240723590109959613347704487197168636357320722740471737579381480952371265847215244619``` `ggnfs-lasieve4I14e on the NFS@Home grid + msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 19:19:45 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 45 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 19:19:45 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 45 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:13:09 UTC 2013 年 9 月 27 日 (金) 21 時 13 分 9 秒 (日本時間)
4511e6203232Ignacio SantosSeptember 25, 2013 19:19:45 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 45 秒 (日本時間)
2000Dmitry DomanovSeptember 27, 2013 12:13:09 UTC 2013 年 9 月 27 日 (金) 21 時 13 分 9 秒 (日本時間)
5043e61300800Dmitry DomanovOctober 11, 2013 11:27:21 UTC 2013 年 10 月 11 日 (金) 20 時 27 分 21 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:47 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 47 秒 (日本時間)
5511e70 / 10191--
6026e73000 / 418311000Serge BatalovMay 14, 2017 02:43:23 UTC 2017 年 5 月 14 日 (日) 11 時 43 分 23 秒 (日本時間)
200Serge BatalovMay 14, 2017 02:48:14 UTC 2017 年 5 月 14 日 (日) 11 時 48 分 14 秒 (日本時間)
800Serge BatalovMay 14, 2017 07:02:51 UTC 2017 年 5 月 14 日 (日) 16 時 2 分 51 秒 (日本時間)
1000Serge BatalovMay 15, 2017 04:54:12 UTC 2017 年 5 月 15 日 (月) 13 時 54 分 12 秒 (日本時間)

## 5×10240+9

### c209

composite cofactor 合成数の残り `15903106213566883619852416152846339431131175970218841397512915007186322369422468889989022354082448973641068671212734691671477466100362357565877558603234987817470569895308978583414823376381772572448760077356863<209>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:13:19 UTC 2013 年 9 月 30 日 (月) 21 時 13 分 19 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:43:16 UTC 2013 年 11 月 30 日 (土) 0 時 43 分 16 秒 (日本時間)

## 5×10242+9

### c231

name 名前 Dmitry Domanov September 26, 2013 05:02:21 UTC 2013 年 9 月 26 日 (木) 14 時 2 分 21 秒 (日本時間) `535873550180993274466528213180483412496055504313314005736004415993150916438827221483549992648436665597047280815596427849520895457637654022986579542874898497846279467634492470781463919918929071603561169947346439807113416210883774587<231>` ```114204698887190450242132133239424858871143<42> 4692219807087976986560531243344361323551484635285317735784611606943840207658183185650153064765429624021169979421818484626560701130679378334163537538276145092357334526146358124965350347740109<190>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=156663253 Step 1 took 30454ms Step 2 took 11827ms ********** Factor found in step 2: 114204698887190450242132133239424858871143 Found probable prime factor of 42 digits: 114204698887190450242132133239424858871143```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

## 5×10243+9

### c212

composite cofactor 合成数の残り `29573194724261944721522264046503229297135499791490014183417262010671814332584933360571289415052163173537123669036502911465638298511273698999506370497249978569470201976797834009679543029871842202837797811383550179<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:13:39 UTC 2013 年 9 月 30 日 (月) 21 時 13 分 39 秒 (日本時間)
4511e61600 / 4143Dmitry DomanovNovember 1, 2013 05:36:34 UTC 2013 年 11 月 1 日 (金) 14 時 36 分 34 秒 (日本時間)

## 5×10244+9

### c210

composite cofactor 合成数の残り `402124043307100124551281325014974417740509221977241485441965571447939705600056832921839680802569255721748880398101296555593675053562384783074594304908904551307607319720208934861518387849115595024156276075259889<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:13:48 UTC 2013 年 9 月 30 日 (月) 21 時 13 分 48 秒 (日本時間)
4511e61600 / 4143Dmitry DomanovNovember 1, 2013 05:35:55 UTC 2013 年 11 月 1 日 (金) 14 時 35 分 55 秒 (日本時間)

## 5×10245+9

### c246

name 名前 NFS@Home + Dmitry Domanov January 19, 2019 21:45:18 UTC 2019 年 1 月 20 日 (日) 6 時 45 分 18 秒 (日本時間) `500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<246>` ```1052119186109708804844031461687624318928404007766083841222321260920788288137<76> 475231329873175546078459446670593652247788596455202540555534109860005830967017573078680079055473240011731573421475956849065946661508957673186277491520335858953524404662657<171>``` ```prp76 factor: 1052119186109708804844031461687624318928404007766083841222321260920788288137 prp171 factor: 475231329873175546078459446670593652247788596455202540555534109860005830967017573078680079055473240011731573421475956849065946661508957673186277491520335858953524404662657``` `ggnfs-lasieve4I14e on the NFS@Home grid + msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:12:19 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 19 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:12:19 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 19 秒 (日本時間)
5043e65950800Dmitry DomanovOctober 11, 2013 11:26:53 UTC 2013 年 10 月 11 日 (金) 20 時 26 分 53 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:54 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 54 秒 (日本時間)
1650Dmitry DomanovApril 25, 2017 14:44:51 UTC 2017 年 4 月 25 日 (火) 23 時 44 分 51 秒 (日本時間)
3000Dmitry DomanovApril 28, 2017 21:54:15 UTC 2017 年 4 月 29 日 (土) 6 時 54 分 15 秒 (日本時間)
5511e711370460Dmitry DomanovMay 5, 2017 20:23:37 UTC 2017 年 5 月 6 日 (土) 5 時 23 分 37 秒 (日本時間)
10910yoyo@homeDecember 22, 2018 21:38:38 UTC 2018 年 12 月 23 日 (日) 6 時 38 分 38 秒 (日本時間)
6026e71800 / 36991Serge BatalovMay 14, 2017 08:35:55 UTC 2017 年 5 月 14 日 (日) 17 時 35 分 55 秒 (日本時間)

## 5×10246+9

### c235

name 名前 Dmitry Domanov September 24, 2013 11:24:50 UTC 2013 年 9 月 24 日 (火) 20 時 24 分 50 秒 (日本時間) `2493397870087328916570903243032491704606171926009173958042374462292785170297217002899500953758411257333898808028920154283658797906435240597431639082108788204746080177460795962033752442937576724118119729238990398346396477841762225446869<235>` ```1023528883938418221716010582442023355423<40> 2436079635088585377470471419324967601518163472626414577210621383772052802910952544694285476997346527179091590062224686906465389384083214697652027614819766950278190679129382189296982077651020152203<196>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733100399 Step 1 took 34970ms Step 2 took 12238ms ********** Factor found in step 2: 1023528883938418221716010582442023355423 Found probable prime factor of 40 digits: 1023528883938418221716010582442023355423```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

## 5×10249+9

### c250

name 名前 Youcef Lemsafer November 17, 2015 07:49:58 UTC 2015 年 11 月 17 日 (火) 16 時 49 分 58 秒 (日本時間) `5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<250>` ```135829727011459164560211559546453460624103398911541319763<57> 464728731865608913260038214522626984403208827108850140785926329054103982893555379011<84> 79209204723174522376608656845550577077880783270025527539186192941746268459342094908968542335913305270808335313<110>``` ``` # # 50009_249, SNFS_diff=249.69897, C250 # 5000*X^6+9, X-10^41 # n: 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 Y1: 1 Y0: -100000000000000000000000000000000000000000 deg: 6 c6: 5000 c0: 9 skew: 0.348775 type: snfs rlim: 120000000 alim: 120000000 lpbr: 31 lpba: 31 mfbr: 96 mfba: 62 rlambda: 3.6 alambda: 2.6 Sat Nov 07 12:52:57 2015 Sat Nov 07 12:52:57 2015 Msieve v. 1.53 (SVN 983M) Sat Nov 07 12:52:57 2015 random seeds: b0605780 58ba5b97 Sat Nov 07 12:52:57 2015 factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits) Sat Nov 07 12:52:59 2015 no P-1/P+1/ECM available, skipping Sat Nov 07 12:52:59 2015 commencing number field sieve (250-digit input) Sat Nov 07 12:52:59 2015 R0: -100000000000000000000000000000000000000000 Sat Nov 07 12:52:59 2015 R1: 1 Sat Nov 07 12:52:59 2015 A0: 9 Sat Nov 07 12:52:59 2015 A1: 0 Sat Nov 07 12:52:59 2015 A2: 0 Sat Nov 07 12:52:59 2015 A3: 0 Sat Nov 07 12:52:59 2015 A4: 0 Sat Nov 07 12:52:59 2015 A5: 0 Sat Nov 07 12:52:59 2015 A6: 5000 Sat Nov 07 12:52:59 2015 skew 0.35, size 1.201e-012, alpha 0.602, combined = 1.392e-013 rroots = 0 Sat Nov 07 12:52:59 2015 Sat Nov 07 12:52:59 2015 commencing relation filtering Sat Nov 07 12:52:59 2015 setting target matrix density to 90.0 Sat Nov 07 12:52:59 2015 estimated available RAM is 32739.1 MB Sat Nov 07 12:52:59 2015 commencing duplicate removal, pass 1 Sat Nov 07 13:13:45 2015 error -15 reading relation 67389976 Sat Nov 07 13:13:46 2015 error -1 reading relation 67413341 Sat Nov 07 13:13:46 2015 error -1 reading relation 67448612 Sat Nov 07 13:13:47 2015 error -1 reading relation 67494673 Sat Nov 07 13:13:48 2015 error -9 reading relation 67506641 Sat Nov 07 13:46:06 2015 error -5 reading relation 171302498 Sat Nov 07 13:46:06 2015 error -9 reading relation 171309468 Sat Nov 07 13:57:06 2015 error -15 reading relation 206456469 Sat Nov 07 13:57:07 2015 error -9 reading relation 206463939 Sat Nov 07 13:57:07 2015 error -9 reading relation 206471043 Sat Nov 07 13:57:07 2015 error -9 reading relation 206485891 Sat Nov 07 13:57:07 2015 error -9 reading relation 206492569 Sat Nov 07 13:57:07 2015 error -1 reading relation 206499425 Sat Nov 07 13:57:07 2015 error -9 reading relation 206507232 Sat Nov 07 13:57:08 2015 error -9 reading relation 206528639 Sat Nov 07 13:57:08 2015 error -15 reading relation 206535986 Sat Nov 07 14:04:22 2015 skipped 441 relations with b > 2^32 Sat Nov 07 14:04:22 2015 skipped 14 relations with composite factors Sat Nov 07 14:04:22 2015 found 58335599 hash collisions in 228739679 relations Sat Nov 07 14:04:51 2015 commencing duplicate removal, pass 2 Sat Nov 07 14:11:59 2015 found 67868129 duplicates and 160871550 unique relations Sat Nov 07 14:11:59 2015 memory use: 1449.5 MB Sat Nov 07 14:11:59 2015 reading ideals above 169541632 Sat Nov 07 14:11:59 2015 commencing singleton removal, initial pass Sat Nov 07 14:51:21 2015 memory use: 3012.0 MB Sat Nov 07 14:51:22 2015 reading all ideals from disk Sat Nov 07 14:51:24 2015 memory use: 2914.0 MB Sat Nov 07 14:51:34 2015 commencing in-memory singleton removal Sat Nov 07 14:51:44 2015 begin with 160871550 relations and 151774156 unique ideals Sat Nov 07 14:53:21 2015 reduce to 80234894 relations and 60213966 ideals in 20 passes Sat Nov 07 14:53:21 2015 max relations containing the same ideal: 27 Sat Nov 07 14:53:30 2015 reading ideals above 720000 Sat Nov 07 14:53:30 2015 commencing singleton removal, initial pass Sat Nov 07 15:19:26 2015 memory use: 1506.0 MB Sat Nov 07 15:19:26 2015 reading all ideals from disk Sat Nov 07 15:19:29 2015 memory use: 3208.4 MB Sat Nov 07 15:19:45 2015 keeping 78748338 ideals with weight <= 200, target excess is 410902 Sat Nov 07 15:19:59 2015 commencing in-memory singleton removal Sat Nov 07 15:20:12 2015 begin with 80234894 relations and 78748338 unique ideals Sat Nov 07 15:22:53 2015 reduce to 80099388 relations and 78612616 ideals in 15 passes Sat Nov 07 15:22:53 2015 max relations containing the same ideal: 200 Sat Nov 07 15:23:48 2015 removing 4846187 relations and 4446187 ideals in 400000 cliques Sat Nov 07 15:23:51 2015 commencing in-memory singleton removal Sat Nov 07 15:24:03 2015 begin with 75253201 relations and 78612616 unique ideals Sat Nov 07 15:25:56 2015 reduce to 74990431 relations and 73901451 ideals in 11 passes Sat Nov 07 15:25:56 2015 max relations containing the same ideal: 197 Sat Nov 07 15:26:48 2015 removing 3509051 relations and 3109051 ideals in 400000 cliques Sat Nov 07 15:26:50 2015 commencing in-memory singleton removal Sat Nov 07 15:27:01 2015 begin with 71481380 relations and 73901451 unique ideals Sat Nov 07 15:28:28 2015 reduce to 71332894 relations and 70642866 ideals in 9 passes Sat Nov 07 15:28:28 2015 max relations containing the same ideal: 192 Sat Nov 07 15:29:18 2015 removing 1807661 relations and 1594280 ideals in 213381 cliques Sat Nov 07 15:29:20 2015 commencing in-memory singleton removal Sat Nov 07 15:29:30 2015 begin with 69525233 relations and 70642866 unique ideals Sat Nov 07 15:30:54 2015 reduce to 69485764 relations and 69008978 ideals in 9 passes Sat Nov 07 15:30:54 2015 max relations containing the same ideal: 191 Sat Nov 07 15:31:59 2015 relations with 0 large ideals: 15394 Sat Nov 07 15:31:59 2015 relations with 1 large ideals: 2879 Sat Nov 07 15:31:59 2015 relations with 2 large ideals: 29640 Sat Nov 07 15:31:59 2015 relations with 3 large ideals: 299587 Sat Nov 07 15:31:59 2015 relations with 4 large ideals: 1708921 Sat Nov 07 15:31:59 2015 relations with 5 large ideals: 5958247 Sat Nov 07 15:31:59 2015 relations with 6 large ideals: 13154580 Sat Nov 07 15:31:59 2015 relations with 7+ large ideals: 48316516 Sat Nov 07 15:31:59 2015 commencing 2-way merge Sat Nov 07 15:33:16 2015 reduce to 43103550 relation sets and 42626764 unique ideals Sat Nov 07 15:33:16 2015 commencing full merge Sat Nov 07 16:29:10 2015 memory use: 1967.9 MB Sat Nov 07 16:29:31 2015 found 269601 cycles, need 8853668 Sat Nov 07 16:29:31 2015 too few cycles, matrix probably cannot build Sat Nov 07 16:29:37 2015 Sat Nov 07 16:29:37 2015 Sat Nov 07 16:29:37 2015 Msieve v. 1.53 (SVN 983M) Sat Nov 07 16:29:37 2015 random seeds: 5b4abaa8 cfa50963 Sat Nov 07 16:29:37 2015 factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits) Sat Nov 07 16:29:39 2015 no P-1/P+1/ECM available, skipping Sat Nov 07 16:29:39 2015 commencing number field sieve (250-digit input) Sat Nov 07 16:29:39 2015 R0: -100000000000000000000000000000000000000000 Sat Nov 07 16:29:39 2015 R1: 1 Sat Nov 07 16:29:39 2015 A0: 9 Sat Nov 07 16:29:39 2015 A1: 0 Sat Nov 07 16:29:39 2015 A2: 0 Sat Nov 07 16:29:39 2015 A3: 0 Sat Nov 07 16:29:39 2015 A4: 0 Sat Nov 07 16:29:39 2015 A5: 0 Sat Nov 07 16:29:39 2015 A6: 5000 Sat Nov 07 16:29:39 2015 skew 0.35, size 1.201e-012, alpha 0.602, combined = 1.392e-013 rroots = 0 Sat Nov 07 16:29:39 2015 Sat Nov 07 16:29:39 2015 commencing relation filtering Sat Nov 07 16:29:39 2015 setting target matrix density to 85.0 Sat Nov 07 16:29:39 2015 estimated available RAM is 32739.1 MB Sat Nov 07 16:29:39 2015 commencing duplicate removal, pass 1 Sat Nov 07 16:50:11 2015 error -15 reading relation 67389976 Sat Nov 07 16:50:11 2015 error -1 reading relation 67413341 Sat Nov 07 16:50:12 2015 error -1 reading relation 67448612 Sat Nov 07 16:50:13 2015 error -1 reading relation 67494673 Sat Nov 07 16:50:13 2015 error -9 reading relation 67506641 Sat Nov 07 17:22:07 2015 error -5 reading relation 171302498 Sat Nov 07 17:22:07 2015 error -9 reading relation 171309468 Sat Nov 07 17:32:59 2015 error -15 reading relation 206456469 Sat Nov 07 17:32:59 2015 error -9 reading relation 206463939 Sat Nov 07 17:32:59 2015 error -9 reading relation 206471043 Sat Nov 07 17:33:00 2015 error -9 reading relation 206485891 Sat Nov 07 17:33:00 2015 error -9 reading relation 206492569 Sat Nov 07 17:33:00 2015 error -1 reading relation 206499425 Sat Nov 07 17:33:00 2015 error -9 reading relation 206507232 Sat Nov 07 17:33:00 2015 error -9 reading relation 206528639 Sat Nov 07 17:33:01 2015 error -15 reading relation 206535986 Sat Nov 07 17:40:08 2015 skipped 441 relations with b > 2^32 Sat Nov 07 17:40:08 2015 skipped 14 relations with composite factors Sat Nov 07 17:40:08 2015 found 58335599 hash collisions in 228739679 relations Sat Nov 07 17:40:37 2015 commencing duplicate removal, pass 2 Sat Nov 07 17:47:20 2015 found 67868129 duplicates and 160871550 unique relations Sat Nov 07 17:47:20 2015 memory use: 1449.5 MB Sat Nov 07 17:47:20 2015 reading ideals above 169541632 Sat Nov 07 17:47:20 2015 commencing singleton removal, initial pass Sat Nov 07 18:24:28 2015 memory use: 3012.0 MB Sat Nov 07 18:24:28 2015 reading all ideals from disk Sat Nov 07 18:24:30 2015 memory use: 2914.0 MB Sat Nov 07 18:24:38 2015 commencing in-memory singleton removal Sat Nov 07 18:24:46 2015 begin with 160871550 relations and 151774156 unique ideals Sat Nov 07 18:26:22 2015 reduce to 80234894 relations and 60213966 ideals in 20 passes Sat Nov 07 18:26:22 2015 max relations containing the same ideal: 27 Sat Nov 07 18:26:30 2015 reading ideals above 720000 Sat Nov 07 18:26:30 2015 commencing singleton removal, initial pass Sat Nov 07 18:51:08 2015 memory use: 1506.0 MB Sat Nov 07 18:51:08 2015 reading all ideals from disk Sat Nov 07 18:51:10 2015 memory use: 3208.4 MB Sat Nov 07 18:51:22 2015 keeping 78748338 ideals with weight <= 200, target excess is 410902 Sat Nov 07 18:51:35 2015 commencing in-memory singleton removal Sat Nov 07 18:51:46 2015 begin with 80234894 relations and 78748338 unique ideals Sat Nov 07 18:54:18 2015 reduce to 80099388 relations and 78612616 ideals in 15 passes Sat Nov 07 18:54:18 2015 max relations containing the same ideal: 200 Sat Nov 07 18:55:11 2015 removing 4846187 relations and 4446187 ideals in 400000 cliques Sat Nov 07 18:55:13 2015 commencing in-memory singleton removal Sat Nov 07 18:55:23 2015 begin with 75253201 relations and 78612616 unique ideals Sat Nov 07 18:57:08 2015 reduce to 74990431 relations and 73901451 ideals in 11 passes Sat Nov 07 18:57:08 2015 max relations containing the same ideal: 197 Sat Nov 07 18:57:58 2015 removing 3509051 relations and 3109051 ideals in 400000 cliques Sat Nov 07 18:57:59 2015 commencing in-memory singleton removal Sat Nov 07 18:58:09 2015 begin with 71481380 relations and 73901451 unique ideals Sat Nov 07 18:59:31 2015 reduce to 71332894 relations and 70642866 ideals in 9 passes Sat Nov 07 18:59:31 2015 max relations containing the same ideal: 192 Sat Nov 07 19:00:18 2015 removing 1807661 relations and 1594280 ideals in 213381 cliques Sat Nov 07 19:00:19 2015 commencing in-memory singleton removal Sat Nov 07 19:00:28 2015 begin with 69525233 relations and 70642866 unique ideals Sat Nov 07 19:01:49 2015 reduce to 69485764 relations and 69008978 ideals in 9 passes Sat Nov 07 19:01:49 2015 max relations containing the same ideal: 191 Sat Nov 07 19:02:50 2015 relations with 0 large ideals: 15394 Sat Nov 07 19:02:50 2015 relations with 1 large ideals: 2879 Sat Nov 07 19:02:50 2015 relations with 2 large ideals: 29640 Sat Nov 07 19:02:50 2015 relations with 3 large ideals: 299587 Sat Nov 07 19:02:50 2015 relations with 4 large ideals: 1708921 Sat Nov 07 19:02:50 2015 relations with 5 large ideals: 5958247 Sat Nov 07 19:02:50 2015 relations with 6 large ideals: 13154580 Sat Nov 07 19:02:50 2015 relations with 7+ large ideals: 48316516 Sat Nov 07 19:02:50 2015 commencing 2-way merge Sat Nov 07 19:04:11 2015 reduce to 43103550 relation sets and 42626764 unique ideals Sat Nov 07 19:04:11 2015 commencing full merge Sat Nov 07 19:26:19 2015 memory use: 5188.7 MB Sat Nov 07 19:26:27 2015 found 21317247 cycles, need 21308964 Sat Nov 07 19:26:29 2015 weight of 21308964 cycles is about 1811414978 (85.01/cycle) Sat Nov 07 19:26:29 2015 distribution of cycle lengths: Sat Nov 07 19:26:29 2015 1 relations: 2619390 Sat Nov 07 19:26:29 2015 2 relations: 2600085 Sat Nov 07 19:26:29 2015 3 relations: 2455745 Sat Nov 07 19:26:29 2015 4 relations: 2119045 Sat Nov 07 19:26:29 2015 5 relations: 1841251 Sat Nov 07 19:26:29 2015 6 relations: 1548729 Sat Nov 07 19:26:29 2015 7 relations: 1304672 Sat Nov 07 19:26:29 2015 8 relations: 1118378 Sat Nov 07 19:26:29 2015 9 relations: 943750 Sat Nov 07 19:26:29 2015 10+ relations: 4757919 Sat Nov 07 19:26:29 2015 heaviest cycle: 28 relations Sat Nov 07 19:26:35 2015 commencing cycle optimization Sat Nov 07 19:27:12 2015 start with 136790057 relations Sat Nov 07 19:34:07 2015 pruned 3584488 relations Sat Nov 07 19:34:07 2015 memory use: 4257.4 MB Sat Nov 07 19:34:07 2015 distribution of cycle lengths: Sat Nov 07 19:34:07 2015 1 relations: 2619390 Sat Nov 07 19:34:07 2015 2 relations: 2656752 Sat Nov 07 19:34:07 2015 3 relations: 2544626 Sat Nov 07 19:34:07 2015 4 relations: 2167357 Sat Nov 07 19:34:07 2015 5 relations: 1882295 Sat Nov 07 19:34:07 2015 6 relations: 1565131 Sat Nov 07 19:34:07 2015 7 relations: 1313977 Sat Nov 07 19:34:07 2015 8 relations: 1114741 Sat Nov 07 19:34:07 2015 9 relations: 934082 Sat Nov 07 19:34:07 2015 10+ relations: 4510613 Sat Nov 07 19:34:07 2015 heaviest cycle: 28 relations Sat Nov 07 19:35:37 2015 RelProcTime: 11158 Sat Nov 07 19:35:37 2015 elapsed time 03:06:00 Sat Nov 7 19:36:04 2015 Sat Nov 7 19:36:04 2015 Sat Nov 7 19:36:04 2015 Msieve v. 1.53 (SVN 975) Sat Nov 7 19:36:04 2015 random seeds: 6185c5e0 1b057b6f Sat Nov 7 19:36:04 2015 MPI process 0 of 2 Sat Nov 7 19:36:04 2015 factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits) Sat Nov 7 19:36:06 2015 no P-1/P+1/ECM available, skipping Sat Nov 7 19:36:06 2015 commencing number field sieve (250-digit input) Sat Nov 7 19:36:06 2015 R0: -100000000000000000000000000000000000000000 Sat Nov 7 19:36:06 2015 R1: 1 Sat Nov 7 19:36:06 2015 A0: 9 Sat Nov 7 19:36:06 2015 A1: 0 Sat Nov 7 19:36:06 2015 A2: 0 Sat Nov 7 19:36:06 2015 A3: 0 Sat Nov 7 19:36:06 2015 A4: 0 Sat Nov 7 19:36:06 2015 A5: 0 Sat Nov 7 19:36:06 2015 A6: 5000 Sat Nov 7 19:36:06 2015 skew 0.35, size 1.201e-12, alpha 0.602, combined = 1.392e-13 rroots = 0 Sat Nov 7 19:36:06 2015 Sat Nov 7 19:36:06 2015 commencing linear algebra Sat Nov 7 19:36:06 2015 initialized process (0,0) of 1 x 2 grid Sat Nov 7 19:36:17 2015 read 21308964 cycles Sat Nov 7 19:37:08 2015 cycles contain 68975111 unique relations Sat Nov 7 19:55:11 2015 read 68975111 relations Sat Nov 7 19:58:15 2015 using 20 quadratic characters above 2147483498 Sat Nov 7 20:04:59 2015 building initial matrix Sat Nov 7 20:21:04 2015 memory use: 8858.1 MB Sat Nov 7 20:21:46 2015 read 21308964 cycles Sat Nov 7 20:21:50 2015 matrix is 21308787 x 21308964 (7542.6 MB) with weight 2162990741 (101.51/col) Sat Nov 7 20:21:50 2015 sparse part has weight 1742847236 (81.79/col) Sat Nov 7 20:28:14 2015 filtering completed in 2 passes Sat Nov 7 20:28:21 2015 matrix is 21306959 x 21307136 (7542.5 MB) with weight 2162936487 (101.51/col) Sat Nov 7 20:28:21 2015 sparse part has weight 1742832766 (81.80/col) Sat Nov 7 20:30:13 2015 matrix starts at (0, 0) Sat Nov 7 20:30:15 2015 matrix is 21306959 x 10653579 (3771.2 MB) with weight 1081470979 (101.51/col) Sat Nov 7 20:30:15 2015 sparse part has weight 871416506 (81.80/col) Sat Nov 7 20:30:15 2015 saving the first 48 matrix rows for later Sat Nov 7 20:30:18 2015 matrix includes 64 packed rows Sat Nov 7 20:30:22 2015 matrix is 21306911 x 10653579 (3614.2 MB) with weight 897471771 (84.24/col) Sat Nov 7 20:30:22 2015 sparse part has weight 840914875 (78.93/col) Sat Nov 7 20:30:22 2015 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Sat Nov 7 20:31:49 2015 commencing Lanczos iteration (6 threads) Sat Nov 7 20:31:49 2015 memory use: 3160.4 MB Sat Nov 7 20:32:46 2015 linear algebra at 0.0%, ETA 214h25m Sat Nov 7 20:33:04 2015 checkpointing every 100000 dimensions Mon Nov 16 14:54:36 2015 lanczos halted after 336943 iterations (dim = 21306909) Mon Nov 16 14:55:05 2015 recovered 39 nontrivial dependencies Mon Nov 16 14:55:07 2015 BLanczosTime: 760741 Mon Nov 16 14:55:07 2015 elapsed time 211:19:03 Sat Nov 7 19:36:04 2015 Sat Nov 7 19:36:04 2015 Sat Nov 7 19:36:04 2015 Msieve v. 1.53 (SVN 975) Sat Nov 7 19:36:04 2015 random seeds: 2fad1fef 19c86c84 Sat Nov 7 19:36:04 2015 MPI process 1 of 2 Sat Nov 7 19:36:04 2015 factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits) Sat Nov 7 19:36:06 2015 no P-1/P+1/ECM available, skipping Sat Nov 7 19:36:06 2015 commencing number field sieve (250-digit input) Sat Nov 7 19:36:06 2015 R0: -100000000000000000000000000000000000000000 Sat Nov 7 19:36:06 2015 R1: 1 Sat Nov 7 19:36:06 2015 A0: 9 Sat Nov 7 19:36:06 2015 A1: 0 Sat Nov 7 19:36:06 2015 A2: 0 Sat Nov 7 19:36:06 2015 A3: 0 Sat Nov 7 19:36:06 2015 A4: 0 Sat Nov 7 19:36:06 2015 A5: 0 Sat Nov 7 19:36:06 2015 A6: 5000 Sat Nov 7 19:36:06 2015 skew 0.35, size 1.201e-12, alpha 0.602, combined = 1.392e-13 rroots = 0 Sat Nov 7 19:36:06 2015 Sat Nov 7 19:36:06 2015 commencing linear algebra Sat Nov 7 19:36:06 2015 initialized process (0,1) of 1 x 2 grid Sat Nov 7 20:30:14 2015 matrix starts at (0, 10653579) Sat Nov 7 20:30:16 2015 matrix is 21306959 x 10653557 (3771.2 MB) with weight 1081465508 (101.51/col) Sat Nov 7 20:30:16 2015 sparse part has weight 871416260 (81.80/col) Sat Nov 7 20:30:16 2015 saving the first 48 matrix rows for later Sat Nov 7 20:30:19 2015 matrix includes 64 packed rows Sat Nov 7 20:30:22 2015 matrix is 21306911 x 10653557 (3614.2 MB) with weight 897477456 (84.24/col) Sat Nov 7 20:30:22 2015 sparse part has weight 840905034 (78.93/col) Sat Nov 7 20:30:22 2015 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Sat Nov 7 20:31:46 2015 commencing Lanczos iteration (6 threads) Sat Nov 7 20:31:46 2015 memory use: 3160.3 MB Mon Nov 16 14:54:36 2015 lanczos halted after 336943 iterations (dim = 21306909) Mon Nov 16 14:54:39 2015 lanczos error: only trivial dependencies found Mon Nov 16 14:54:40 2015 BLanczosTime: 760714 Mon Nov 16 14:54:40 2015 elapsed time 211:18:36 Mon Nov 16 14:55:19 2015 Mon Nov 16 14:55:19 2015 Mon Nov 16 14:55:19 2015 Msieve v. 1.53 (SVN 983M) Mon Nov 16 14:55:19 2015 random seeds: a55ed14c f0c417c9 Mon Nov 16 14:55:19 2015 factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits) Mon Nov 16 14:55:22 2015 no P-1/P+1/ECM available, skipping Mon Nov 16 14:55:22 2015 commencing number field sieve (250-digit input) Mon Nov 16 14:55:22 2015 R0: -100000000000000000000000000000000000000000 Mon Nov 16 14:55:22 2015 R1: 1 Mon Nov 16 14:55:22 2015 A0: 9 Mon Nov 16 14:55:22 2015 A1: 0 Mon Nov 16 14:55:22 2015 A2: 0 Mon Nov 16 14:55:22 2015 A3: 0 Mon Nov 16 14:55:22 2015 A4: 0 Mon Nov 16 14:55:22 2015 A5: 0 Mon Nov 16 14:55:22 2015 A6: 5000 Mon Nov 16 14:55:22 2015 skew 0.35, size 1.201e-012, alpha 0.602, combined = 1.392e-013 rroots = 0 Mon Nov 16 14:55:22 2015 Mon Nov 16 14:55:22 2015 commencing square root phase Mon Nov 16 14:55:22 2015 reading relations for dependency 1 Mon Nov 16 14:55:29 2015 read 10650876 cycles Mon Nov 16 14:55:55 2015 cycles contain 34486588 unique relations Mon Nov 16 15:07:26 2015 read 34486588 relations Mon Nov 16 15:11:47 2015 multiplying 34486588 relations Mon Nov 16 16:11:57 2015 multiply complete, coefficients have about 1269.29 million bits Mon Nov 16 16:12:08 2015 initial square root is modulo 494023 Mon Nov 16 17:18:17 2015 found factor: 464728731865608913260038214522626984403208827108850140785926329054103982893555379011 Mon Nov 16 17:18:17 2015 reading relations for dependency 2 Mon Nov 16 17:18:25 2015 read 10654604 cycles Mon Nov 16 17:18:47 2015 cycles contain 34491354 unique relations Mon Nov 16 17:30:22 2015 read 34491354 relations Mon Nov 16 17:34:46 2015 multiplying 34491354 relations Mon Nov 16 18:34:51 2015 multiply complete, coefficients have about 1269.47 million bits Mon Nov 16 18:35:02 2015 initial square root is modulo 494917 Mon Nov 16 19:41:18 2015 sqrtTime: 17156 Mon Nov 16 19:41:18 2015 p57 factor: 135829727011459164560211559546453460624103398911541319763 Mon Nov 16 19:41:18 2015 p84 factor: 464728731865608913260038214522626984403208827108850140785926329054103982893555379011 Mon Nov 16 19:41:18 2015 p110 factor: 79209204723174522376608656845550577077880783270025527539186192941746268459342094908968542335913305270808335313 Mon Nov 16 19:41:18 2015 elapsed time 04:45:59``` `GGNFS (svn-440), msieve 1.53` `Windows 7 Pro 64-bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:12:02 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 2 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:12:02 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 2 秒 (日本時間)
5043e67047800Dmitry DomanovOctober 11, 2013 11:26:24 UTC 2013 年 10 月 11 日 (金) 20 時 26 分 24 秒 (日本時間)
6247Serge BatalovOctober 26, 2014 20:12:01 UTC 2014 年 10 月 27 日 (月) 5 時 12 分 1 秒 (日本時間)
5511e70--
6026e78375 / 41159375Youcef LemsaferMarch 12, 2015 10:05:21 UTC 2015 年 3 月 12 日 (木) 19 時 5 分 21 秒 (日本時間)
8000Youcef LemsaferAugust 31, 2015 09:00:08 UTC 2015 年 8 月 31 日 (月) 18 時 0 分 8 秒 (日本時間)

## 5×10250+9

### c228

name 名前 Dmitry Domanov September 25, 2013 05:10:45 UTC 2013 年 9 月 25 日 (水) 14 時 10 分 45 秒 (日本時間) `970488779430906770982913951271313959886896099095277167366805127600052531272738837128579831143617225868828487224116964864479947394817367296283621267637319955757273814893470278513121322307376324895099249049597967900166091769950663<228>` `13000157627426089562946769067269<32>` `74652077862770848059448513822813717324279507259426055532150642878625233605109189079514569966624237637131708688329670377222309299683096319546813665670841360384741051605368087157982139503249374817627<197>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1784506820 Step 1 took 30597ms Step 2 took 11423ms ********** Factor found in step 2: 13000157627426089562946769067269 Found probable prime factor of 32 digits: 13000157627426089562946769067269```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:11:43 UTC 2013 年 9 月 27 日 (金) 21 時 11 分 43 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:11:43 UTC 2013 年 9 月 27 日 (金) 21 時 11 分 43 秒 (日本時間)
5043e6620 / 7047Dmitry DomanovOctober 11, 2013 11:25:53 UTC 2013 年 10 月 11 日 (金) 20 時 25 分 53 秒 (日本時間)

## 5×10251+9

### c157

name 名前 yoyo February 17, 2020 20:23:36 UTC 2020 年 2 月 18 日 (火) 5 時 23 分 36 秒 (日本時間) `2890146828787416406651246482598300182089725973965696647289473714458185971355321977078866898017201494493020382313064468544140153092557516652954345294428124929<157>` ```29199603979799460470775001236056145811674845723<47> 98978973508916253575912304961568723532383777964691165450106321913971742489241647431870875135457982892785487123<110>``` ```GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 2890146828787416406651246482598300182089725973965696647289473714458185971355321977078866898017201494493020382313064468544140153092557516652954345294428124929 (157 digits) [Mon Feb 17 14:57:13 2020] Using MODMULN [mulredc:0, sqrredc:0] Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:9406269812348913964 dF=65536, k=5, d=690690, d2=17, i0=46 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 55 246 1286 7557 49831 361851 2844041 2.4e+07 2.2e+08 2.2e+09 Writing checkpoint to checkpnt at p = 43000000 Step 1 took 97203ms Using 20 small primes for NTT Estimated memory usage: 231.70MB Initializing tables of differences for F took 16ms Computing roots of F took 1609ms Building F from its roots took 1750ms Computing 1/F took 704ms Initializing table of differences for G took 31ms Computing roots of G took 1281ms Building G from its roots took 1625ms Computing roots of G took 1297ms Building G from its roots took 1593ms Computing G * H took 391ms Reducing G * H mod F took 390ms Computing roots of G took 1297ms Building G from its roots took 1641ms Computing G * H took 407ms Reducing G * H mod F took 406ms Computing roots of G took 1297ms Building G from its roots took 1609ms Computing G * H took 406ms Reducing G * H mod F took 406ms Computing roots of G took 1328ms Building G from its roots took 1657ms Computing G * H took 438ms Reducing G * H mod F took 422ms Computing polyeval(F,G) took 3141ms Computing product of all F(g_i) took 15ms Step 2 took 25453ms ********** Factor found in step 2: 29199603979799460470775001236056145811674845723 Found prime factor of 47 digits: 29199603979799460470775001236056145811674845723 Prime cofactor 98978973508916253575912304961568723532383777964691165450106321913971742489241647431870875135457982892785487123 has 110 digits Peak memory usage: 323MB``` `GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e61000 / 3844Dmitry DomanovApril 28, 2019 19:12:06 UTC 2019 年 4 月 29 日 (月) 4 時 12 分 6 秒 (日本時間)

## 5×10254+9

### c212

composite cofactor 合成数の残り `14176473121229371101771652237574977636193132080874254995361013539126495836162408014341181566478799054689737227609674979168450794131416743441253932805449156278831724487116906092010811314169704340381389033552986009<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10255+9

### c230

composite cofactor 合成数の残り `17057120757618680666612412130718694912659879706464807620422496213779790794337965542061070813860286481258596677317814248425981104737958143765900352032087523159463203501720264005050888816804707594542655020306748799570582801070288761<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10257+9

### c210

composite cofactor 合成数の残り `185904419952036771221056370280994235723564245866620670125181719738798464758791727452766199701971616081088787378630260322171205752498078649626377493842776504932424080722780151904551057152999700717307617770359803<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10258+9

### c258

composite cofactor 合成数の残り `102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102041<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10259+9

### c238

composite cofactor 合成数の残り `1415125367975203130732294653763105911842091413021464571947291561037368741554445574488553294709421529544702654137045937588811063441336474019211687962609547689731236918715441980250041678815823180596323593208919720357395684654973700026804659<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10260+9

### c145

name 名前 Serge Batalov May 12, 2019 15:31:51 UTC 2019 年 5 月 13 日 (月) 0 時 31 分 51 秒 (日本時間) `4339545970774703821988482642505871752245502599379591247588768738911178548599576191645952183848815849228530754720203178916751897977069275106713243<145>` ```5304694184788454617204522402106645037509<40> 747111313065551159835648945853291107356597407<45> 1094960944251794080937395863839511604450845983987506228916161<61>``` ```Step 1 took 208131ms Step 2 took 80407ms ********** Factor found in step 2: 5304694184788454617204522402106645037509 Found prime factor of 40 digits: 5304694184788454617204522402106645037509 Composite cofactor 818057708815453638285208543283228816121912718933816227349776459010116539812102234187719671508078432994527 has 105 digits Divisors found: r1=747111313065551159835648945853291107356597407 (pp45) r2=1094960944251794080937395863839511604450845983987506228916161 (pp61) Version: Msieve v. 1.53 (SVN unknown) Total time: 3.14 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: type: gnfs n: 818057708815453638285208543283228816121912718933816227349776459010116539812102234187719671508078432994527 skew: 11692033.86 Y0: -60765934320272211363715654 Y1: 19295447803571 c0: 335998987418566497807483786399 c1: 173870694246563119385930 c2: -13561843985032825 c3: -3492995788 c4: 60 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 306479 x 306709 Total sieving time: 3.06 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,104,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 3.14 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e61000 / 3844Dmitry DomanovApril 29, 2019 08:28:50 UTC 2019 年 4 月 29 日 (月) 17 時 28 分 50 秒 (日本時間)

## 5×10262+9

### c204

composite cofactor 合成数の残り `348674470403411165770287188090258093301465478235249100147009329140625986262238975811054755722834342528615061740330918933185470742726367901012215265960878438936334599885201190370986872036727041031269189189<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10263+9

### c244

composite cofactor 合成数の残り `3104424089888836759796638709052193177510055639137914317898368183010598421896989578926752638956347564994371064792031349373885235174226647770904544834161734063056401751088413208874065649384856177459201325386377714895850921240342861904734951902017<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10265+9

### c240

composite cofactor 合成数の残り `132540070780057972790788786028142637978330068331829139167668086856215332414470040722091862708841140929969034298728191533884751041048257141967522172059447098906597211979037846154055413400814866496712518976480852078762824937292398844221799393<240>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10267+9

### c208

composite cofactor 合成数の残り `1905035709610829109574787310515464942294664825262432703391803449867195837275116622616690685792678803692380668703533425847487785995038678071326266418150555689405829741255275655234877291991265431569326102793779<208>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10269+9

### c262

composite cofactor 合成数の残り `1654822676036453585664313520956709120601844974378165379979704394193297394269548313535956021856196260274839503133931315863328420242033239317671996650824243841934025417023836697967891323373178495723625443636033044915723306592402814341038837506663184875627681274017<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10270+9

### c254

composite cofactor 合成数の残り `13921051208593666883884313034981348011995522143052689839315757892308901866045454153748792721352645410592011374200082873987287590858621525532985926397718135502888561317749095245370674513161067872395338298473985987176039201571771463830002942833364448249201<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10271+9

### c195

composite cofactor 合成数の残り `205664616267776000495777793017507012305760595533172377891351806118393582737001809856911458219131463730119867359557557195327987833148067290601248237659439800230273249336065076527569561244661295753<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10273+9

### c221

composite cofactor 合成数の残り `56545324505491499740552141811566975029862051218836288920036990674721604806558137918381459555020497319443305075471134053643475319635996396185018110870916681034959186013832891258543879673242628802212333641625779922892275153<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10274+9

### c274

composite cofactor 合成数の残り `1724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758621<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10275+9

### c222

composite cofactor 合成数の残り `121961779402555317903738174166898858454896923190792840346207541903837321343169660716742503805700049332217969958587962008396013284222706396402071117302288224598667136191594311852993023826300055299657950721277870438303058651<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10277+9

### c260

composite cofactor 合成数の残り `12222528359487570601547021628015356691826808705799748903009688899343241925596438187198285315853987345352767673100139621376270945690976627832424818124809685561485580040601557398891840639125203623321085910478051552020740826780864278781201427269206590969288615331<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10278+9

### c212

composite cofactor 合成数の残り `28195725561648965624226124243713176282040588101173602825926284606929341026236219317674344065816302041621983817911569442680183490552322717856406962810466175357429901797376043793741933477777307985274332276509714081<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10279+9

### c244

composite cofactor 合成数の残り `4173496742512169891252932576974244868914048957251060817697819361234800443624685809836800263995610724425297749399636057618127732683191165847290284278625519016624716006153420573052067767051899459567604154059265194463507014261327942119423032817249<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10281+9

### c227

composite cofactor 合成数の残り `16195477045995054464661979350586612930575097836331549816696256533014974311690160891609547519071438856743993068793631178038033152363170153699128935964224372881648703193234619945869998970759101943594117167324795917420492413868657<227>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10286+9

### c176

composite cofactor 合成数の残り `50913372677930564786856659741835575508665587647477833865386601159127889417027209533174123175343431942039451789468046147533131807484447221712086422270513100053922192579206659849<176>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovMarch 23, 2019 18:35:28 UTC 2019 年 3 月 24 日 (日) 3 時 35 分 28 秒 (日本時間)
5043e62392 / 6996600Dmitry DomanovApril 8, 2019 20:50:29 UTC 2019 年 4 月 9 日 (火) 5 時 50 分 29 秒 (日本時間)
1792Dmitry DomanovMay 12, 2024 00:21:22 UTC 2024 年 5 月 12 日 (日) 9 時 21 分 22 秒 (日本時間)

## 5×10287+9

### c213

composite cofactor 合成数の残り `202038896848708707535693497829636665075775089229308799116448911392837916475475826724125422421517363334992942260646352547220719455984916467594190126284112137137975036305291303158492014766157383036141868714123654571<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10288+9

### c224

composite cofactor 合成数の残り `13701523227837927840491539480235763771318422750996831223939840930518536719546652141942785840608531284696970699569733900562686404739645997316434568332662656794976668673693961845034036296835720894142629562998198474403581792507<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10291+9

### c237

composite cofactor 合成数の残り `150191682145895005828935455026499031125931399606454372524973456787183066448508090538762321559163632593014641792954858008802844052428055720743766619742426817972925856434860576831155780347380339410590751326208893641905847671750406250976187<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10292+9

### c170

composite cofactor 合成数の残り `50521780668496581299932702501550960093953287959401485567227103206748864708571595288015654496711822443137395062853955857152472256498867080772606050510344458044543383737127<170>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovMarch 23, 2019 00:18:46 UTC 2019 年 3 月 23 日 (土) 9 時 18 分 46 秒 (日本時間)
5043e62392 / 6996600Dmitry DomanovApril 8, 2019 07:30:39 UTC 2019 年 4 月 8 日 (月) 16 時 30 分 39 秒 (日本時間)
1792Dmitry DomanovJune 9, 2024 18:32:56 UTC 2024 年 6 月 10 日 (月) 3 時 32 分 56 秒 (日本時間)

## 5×10293+9

### c274

composite cofactor 合成数の残り `1885323674096635339487294914542394515657146364588329765773657272001995946479070487962045230744304650471302970796118126146175072526262773501258267705747410513161030036245869170971977544041986342912752962540797176053022898429287379424437781790578952058981096626298780805959171<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10294+9

### c247

composite cofactor 合成数の残り `1736287108243545707615454620502887920794528212861934239385960895361771662421110008708103761444606206319098935161293186790095119147174539775863319296646813320441619146973847245072210082482359244959737268927868967798761063225099908346309508614918901<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10295+9

### c266

composite cofactor 合成数の残り `13065637363424610385517557146784004309044890572168192913241620770390015857758998452061646691037204778907819707939782784102812866300173833743067028743328525298377021400304058906267187610042453270083326817666750370009214494202971285969008541510410596914572890580209809<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10296+9

### c283

composite cofactor 合成数の残り `2737198007560357304803577723657298313654087610741325563412183969550499830095180433090577367856727549686008911440640390884587689349075414276045931292386590345928435922447961717837334841514172459646759891771144509497569802343199147454008014113427076760072171581167518758642978311077869<283>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10297+9

### c278

composite cofactor 合成数の残り `26409730353216182850860106241347404716340193523757333472941552766688427983744773769681794055895082199020679208607053245411947714865811768641217866146115841120710293490349694232931574140008838855025285278690251038061651739002960971278016193647388909949268286048955251324874982521<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10298+9

### c231

composite cofactor 合成数の残り `961555673546355718577791234681594270575602476127754969154844130078706100733100135942743037854174077641422694722842908556593391620721470869309512444896826160786284817035559341387310198509997365238497705937284358522330501776286107009<231>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10300+9

### c237

composite cofactor 合成数の残り `160598169819641981014046289614611111494226538832811235549405824854763406396129568606762639330952493147729422636109622008317686524774711046432016536252440296821016329745512355414537390015340109381675463268185995405747369204872877137923463<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovMarch 22, 2019 13:47:58 UTC 2019 年 3 月 22 日 (金) 22 時 47 分 58 秒 (日本時間)
5043e6528 / 6996Dmitry DomanovMarch 24, 2019 18:27:01 UTC 2019 年 3 月 25 日 (月) 3 時 27 分 1 秒 (日本時間)